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Finding the Third Proportional to 83,655 and 180,341

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Solution

The third proportional to 83,655 and 180,341 is: 388,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655 : 180,341 = 180,341 : x
  2. Step 2: Convert to fraction form
    83,655/180,341 = 180,341/x
  3. Step 3: Cross multiply
    83,655x = 180,341 × 180,341
  4. Step 4: Simplify right side
    83,655x = 32,522,876,281
  5. Step 5: Solve for x
    x = 32,522,876,281/83,655
  6. Step 6: Final answer
    x = 388,773.85

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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.