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Finding the Third Proportional to 83,530 and 176,375

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Solution

The third proportional to 83,530 and 176,375 is: 372,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530 : 176,375 = 176,375 : x
  2. Step 2: Convert to fraction form
    83,530/176,375 = 176,375/x
  3. Step 3: Cross multiply
    83,530x = 176,375 × 176,375
  4. Step 4: Simplify right side
    83,530x = 31,108,140,625
  5. Step 5: Solve for x
    x = 31,108,140,625/83,530
  6. Step 6: Final answer
    x = 372,418.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.