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Finding the Third Proportional to 131,815.13 and 204,276.94

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Solution

The third proportional to 131,815.13 and 204,276.94 is: 316,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,815.13 : 204,276.94 = 204,276.94 : x
  2. Step 2: Convert to fraction form
    131,815.13/204,276.94 = 204,276.94/x
  3. Step 3: Cross multiply
    131,815.13x = 204,276.94 × 204,276.94
  4. Step 4: Simplify right side
    131,815.13x = 41,729,067,194.38
  5. Step 5: Solve for x
    x = 41,729,067,194.38/131,815.13
  6. Step 6: Final answer
    x = 316,572.68

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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.