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Finding the Third Proportional to 83,625 and 180,882

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Solution

The third proportional to 83,625 and 180,882 is: 391,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,625 : 180,882 = 180,882 : x
  2. Step 2: Convert to fraction form
    83,625/180,882 = 180,882/x
  3. Step 3: Cross multiply
    83,625x = 180,882 × 180,882
  4. Step 4: Simplify right side
    83,625x = 32,718,297,924
  5. Step 5: Solve for x
    x = 32,718,297,924/83,625
  6. Step 6: Final answer
    x = 391,250.20

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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.