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Finding the Third Proportional to 132,061.50 and 278,698.50

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Solution

The third proportional to 132,061.50 and 278,698.50 is: 588,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,061.50 : 278,698.50 = 278,698.50 : x
  2. Step 2: Convert to fraction form
    132,061.50/278,698.50 = 278,698.50/x
  3. Step 3: Cross multiply
    132,061.50x = 278,698.50 × 278,698.50
  4. Step 4: Simplify right side
    132,061.50x = 77,672,853,902.25
  5. Step 5: Solve for x
    x = 77,672,853,902.25/132,061.50
  6. Step 6: Final answer
    x = 588,156.68

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.