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Finding the Third Proportional to 83,915 and 182,439

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Solution

The third proportional to 83,915 and 182,439 is: 396,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915 : 182,439 = 182,439 : x
  2. Step 2: Convert to fraction form
    83,915/182,439 = 182,439/x
  3. Step 3: Cross multiply
    83,915x = 182,439 × 182,439
  4. Step 4: Simplify right side
    83,915x = 33,283,988,721
  5. Step 5: Solve for x
    x = 33,283,988,721/83,915
  6. Step 6: Final answer
    x = 396,639.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.