Finding the Third Proportional to 370 and 415
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Solution
The third proportional to 370 and 415 is: 465.47
Step by Step Solution
- Step 1: Write the proportion equation
370 : 415 = 415 : x - Step 2: Convert to fraction form
370/415 = 415/x - Step 3: Cross multiply
370x = 415 × 415 - Step 4: Simplify right side
370x = 172,225 - Step 5: Solve for x
x = 172,225/370 - Step 6: Final answer
x = 465.47
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.