
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Electric bicycles have become the preferred tool for daily travel for citizens. According to statistics from a certain brand of electric bicycle dealer in a certain city from January to March, the brand sold 150 bicycles in January and 216 bicycles in March.
$(1)$ Find the monthly average growth rate of sales for this brand of electric bicycles;
$(2)$ If the cost price of this brand of electric bicycles is 2300 yuan and the selling price is 2800 yuan, how much profit did the dealer make from January to March?

Present the answer in LaTex format: \boxed{Your answer}
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