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Finding the Third Proportional to 186,410 and 239,439

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Solution

The third proportional to 186,410 and 239,439 is: 307,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,410 : 239,439 = 239,439 : x
  2. Step 2: Convert to fraction form
    186,410/239,439 = 239,439/x
  3. Step 3: Cross multiply
    186,410x = 239,439 × 239,439
  4. Step 4: Simplify right side
    186,410x = 57,331,034,721
  5. Step 5: Solve for x
    x = 57,331,034,721/186,410
  6. Step 6: Final answer
    x = 307,553.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.