
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
According to a statistical survey, the height of male high school sophomores in a certain city, denoted as $X$ (in cm), follows a normal distribution $N(174, 9)$. If there are a total of 3,000 male high school sophomores in the city, calculate the number of these students whose height falls within the range $(174, 180]$.

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