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Finding the Third Proportional to 252.96 and 363.61

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Solution

The third proportional to 252.96 and 363.61 is: 522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 363.61 = 363.61 : x
  2. Step 2: Convert to fraction form
    252.96/363.61 = 363.61/x
  3. Step 3: Cross multiply
    252.96x = 363.61 × 363.61
  4. Step 4: Simplify right side
    252.96x = 132,211.78
  5. Step 5: Solve for x
    x = 132,211.78/252.96
  6. Step 6: Final answer
    x = 522.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.