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Finding the Third Proportional to 83,200 and 180,624

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Solution

The third proportional to 83,200 and 180,624 is: 392,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,200 : 180,624 = 180,624 : x
  2. Step 2: Convert to fraction form
    83,200/180,624 = 180,624/x
  3. Step 3: Cross multiply
    83,200x = 180,624 × 180,624
  4. Step 4: Simplify right side
    83,200x = 32,625,029,376
  5. Step 5: Solve for x
    x = 32,625,029,376/83,200
  6. Step 6: Final answer
    x = 392,127.76

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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.