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Finding the Third Proportional to 83,597 and 180,829

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Solution

The third proportional to 83,597 and 180,829 is: 391,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,597 : 180,829 = 180,829 : x
  2. Step 2: Convert to fraction form
    83,597/180,829 = 180,829/x
  3. Step 3: Cross multiply
    83,597x = 180,829 × 180,829
  4. Step 4: Simplify right side
    83,597x = 32,699,127,241
  5. Step 5: Solve for x
    x = 32,699,127,241/83,597
  6. Step 6: Final answer
    x = 391,151.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.