Finding the Third Proportional to 176 and 452
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Solution
The third proportional to 176 and 452 is: 1,160.82
Step by Step Solution
- Step 1: Write the proportion equation
176 : 452 = 452 : x - Step 2: Convert to fraction form
176/452 = 452/x - Step 3: Cross multiply
176x = 452 × 452 - Step 4: Simplify right side
176x = 204,304 - Step 5: Solve for x
x = 204,304/176 - Step 6: Final answer
x = 1,160.82
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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.