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Finding the Third Proportional to 131,898.38 and 204,363

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Solution

The third proportional to 131,898.38 and 204,363 is: 316,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,898.38 : 204,363 = 204,363 : x
  2. Step 2: Convert to fraction form
    131,898.38/204,363 = 204,363/x
  3. Step 3: Cross multiply
    131,898.38x = 204,363 × 204,363
  4. Step 4: Simplify right side
    131,898.38x = 41,764,235,769
  5. Step 5: Solve for x
    x = 41,764,235,769/131,898.38
  6. Step 6: Final answer
    x = 316,639.50

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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.