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Finding the Third Proportional to 83,779 and 182,330

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Solution

The third proportional to 83,779 and 182,330 is: 396,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,779 : 182,330 = 182,330 : x
  2. Step 2: Convert to fraction form
    83,779/182,330 = 182,330/x
  3. Step 3: Cross multiply
    83,779x = 182,330 × 182,330
  4. Step 4: Simplify right side
    83,779x = 33,244,228,900
  5. Step 5: Solve for x
    x = 33,244,228,900/83,779
  6. Step 6: Final answer
    x = 396,808.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.