There's no normal progression speed.
The only progression which fits you well is yours.
I'm 271k after 1.5 months and actually I'm feeling the complete opposite : not like I'm progressing too fast, but like I'm stucked in my "Hard" maps, need to play more, keep improve and reach a new step.
You can A some 4* maps with 91-93% accu. Well, if I finish a map with 91% accu, I know I didn't mastered the beatmap, at all. Under 96-97%, I know I failed somewhere, and I'm not satisfied of myself.
Just a question of point of view tho.