Finding the Third Proportional to 382 and 451
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Solution
The third proportional to 382 and 451 is: 532.46
Step by Step Solution
- Step 1: Write the proportion equation
382 : 451 = 451 : x - Step 2: Convert to fraction form
382/451 = 451/x - Step 3: Cross multiply
382x = 451 × 451 - Step 4: Simplify right side
382x = 203,401 - Step 5: Solve for x
x = 203,401/382 - Step 6: Final answer
x = 532.46
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.