Finding the Third Proportional to 166 and 252
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Solution
The third proportional to 166 and 252 is: 382.55
Step by Step Solution
- Step 1: Write the proportion equation
166 : 252 = 252 : x - Step 2: Convert to fraction form
166/252 = 252/x - Step 3: Cross multiply
166x = 252 × 252 - Step 4: Simplify right side
166x = 63,504 - Step 5: Solve for x
x = 63,504/166 - Step 6: Final answer
x = 382.55
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.