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Finding the Third Proportional to 83,181.38 and 180,375.19

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Solution

The third proportional to 83,181.38 and 180,375.19 is: 391,135.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,181.38 : 180,375.19 = 180,375.19 : x
  2. Step 2: Convert to fraction form
    83,181.38/180,375.19 = 180,375.19/x
  3. Step 3: Cross multiply
    83,181.38x = 180,375.19 × 180,375.19
  4. Step 4: Simplify right side
    83,181.38x = 32,535,208,265.66
  5. Step 5: Solve for x
    x = 32,535,208,265.66/83,181.38
  6. Step 6: Final answer
    x = 391,135.74

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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.