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Finding the Third Proportional to 226,020.38 and 341,947.13

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Solution

The third proportional to 226,020.38 and 341,947.13 is: 517,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,020.38 : 341,947.13 = 341,947.13 : x
  2. Step 2: Convert to fraction form
    226,020.38/341,947.13 = 341,947.13/x
  3. Step 3: Cross multiply
    226,020.38x = 341,947.13 × 341,947.13
  4. Step 4: Simplify right side
    226,020.38x = 116,927,836,295.77
  5. Step 5: Solve for x
    x = 116,927,836,295.77/226,020.38
  6. Step 6: Final answer
    x = 517,333.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.