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Finding the Third Proportional to 138,680 and 283,932

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Solution

The third proportional to 138,680 and 283,932 is: 581,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,680 : 283,932 = 283,932 : x
  2. Step 2: Convert to fraction form
    138,680/283,932 = 283,932/x
  3. Step 3: Cross multiply
    138,680x = 283,932 × 283,932
  4. Step 4: Simplify right side
    138,680x = 80,617,380,624
  5. Step 5: Solve for x
    x = 80,617,380,624/138,680
  6. Step 6: Final answer
    x = 581,319.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.