Let's see if I can explain this.
Bob the Paleontologist is excavating a hillside. He knows he's in the Triassic period, based on the strata he's excavated. Depending on how finely geologists can detail strata (something I don't know, but could find out) he might be able to tell within 5 to 10 million years or better "when" he is.
He finds a dinosaur fossil embedded in rock. He knows, because of the layer he's in, a rough age. He excavates the thing and has it shipped to his lab for study. He notes that the fossil is lying in a certain type of rock, one that is easy to date by the Ar/Ar method.
He ships this rock to another lab, thankful his grant covers the more expensive Ar/Ar method. (He probably sends more than one, actually).
Bob proceeds to clean his dinosaur fossil, discovers to his delight that several features indicate it is a new species. During this laborous process, he gets the results back from the radiometric dating done on his sample. The rock is dated at 234 million years, plus or minus 1.2 million. He claps his hands in delight, as this date is much more precise than the 230 to 240 million year figure given by it's position in the rock.
He then writes a paper, detailing the skeleton, the specific features of it, and his conclusions. In that paper he details the specifics of the find. Geologic location, position in strata, how deep it was buried, what sort of rock it was in, the geologic history of the area, and how many samples he had submitted to how many tests. Where the samples where taken, relative to the fossil, and what the results where from the radiometric tests.
Multiple methods. He knew, from the layer it was in (a layer he identified by index fossils) a rough age of the find. He refined that age (and independently tested his identification of the layer) by submitting rock samples from the find to radiometric tests.