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Finding the Third Proportional to 83,180 and 180,374

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Solution

The third proportional to 83,180 and 180,374 is: 391,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,180 : 180,374 = 180,374 : x
  2. Step 2: Convert to fraction form
    83,180/180,374 = 180,374/x
  3. Step 3: Cross multiply
    83,180x = 180,374 × 180,374
  4. Step 4: Simplify right side
    83,180x = 32,534,779,876
  5. Step 5: Solve for x
    x = 32,534,779,876/83,180
  6. Step 6: Final answer
    x = 391,137.05

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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.