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Finding the Third Proportional to 141,129 and 218,605.50

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Solution

The third proportional to 141,129 and 218,605.50 is: 338,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,129 : 218,605.50 = 218,605.50 : x
  2. Step 2: Convert to fraction form
    141,129/218,605.50 = 218,605.50/x
  3. Step 3: Cross multiply
    141,129x = 218,605.50 × 218,605.50
  4. Step 4: Simplify right side
    141,129x = 47,788,364,630.25
  5. Step 5: Solve for x
    x = 47,788,364,630.25/141,129
  6. Step 6: Final answer
    x = 338,614.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.