If the load shoots well at 100yds it will keep shooting well at greater distances . One thing to keep in mind is the bullet decelerates much faster percentage wise then the spin decelerates . So if it's stable at 100yds it should be stable throughout it's flight path until it encounters a destabilizing force .
That said generally speaking 1/2moa at 100yds will shoot about the same at 200yds . How ever every 100yds after that the groups will open up a bit . If the rifle , ammo and shooter are up to it . The difference is not incrementally large but the groups do start to open up on average . Why ? JUST CUASE
308cal , 175gr SMK @ 2650fps drops 4" 200yds , 14.5" at 300yds , 32.8" at 400yds , 59.9" at 500yds and 395" at 1k . This load stays super sonic throughout it's flight path .
223cal , 77gr SMK @ 2700fps drops 4" at 200yds , 15.1" at 300yds , 34.9" @ 400yds , 65.4" at 500yds and 495" at 1k . This load passes the transonic barrier ( destabilizing force ) around 800yds
The 223 goes south after 600yds really as far as drop goes but as you can see out to 500yds it's virtually the same as a 308 in there most commonly used long range bullet weights respectively .