The profile center advanced mates option helps us to center two surfaces in relation to each other in an assembly. The following screenshot highlights the effect of the profile center mate. The assembly on the left is before applying the mate, while the one on the right is after applying the mate:

Note that SOLIDWORKS interprets the profile of the shape by its outer outline only. Also, we can only use the profile center mate with limited profiles that include circles and polygons. Polygons can include triangles, rectangles, hexagonals, and so on. Any other irregular profiles cannot be used with the profile center mate. Now that we know what the profile center advanced mate does, we can start applying the mate to different parts, which we will do next.