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Finding the Third Proportional to 83,793 and 180,708

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Solution

The third proportional to 83,793 and 180,708 is: 389,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793 : 180,708 = 180,708 : x
  2. Step 2: Convert to fraction form
    83,793/180,708 = 180,708/x
  3. Step 3: Cross multiply
    83,793x = 180,708 × 180,708
  4. Step 4: Simplify right side
    83,793x = 32,655,381,264
  5. Step 5: Solve for x
    x = 32,655,381,264/83,793
  6. Step 6: Final answer
    x = 389,714.91

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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.