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Finding the Third Proportional to 80,442 and 176,436

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Solution

The third proportional to 80,442 and 176,436 is: 386,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442 : 176,436 = 176,436 : x
  2. Step 2: Convert to fraction form
    80,442/176,436 = 176,436/x
  3. Step 3: Cross multiply
    80,442x = 176,436 × 176,436
  4. Step 4: Simplify right side
    80,442x = 31,129,662,096
  5. Step 5: Solve for x
    x = 31,129,662,096/80,442
  6. Step 6: Final answer
    x = 386,982.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.