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Finding the Third Proportional to 80,387 and 169,794

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Solution

The third proportional to 80,387 and 169,794 is: 358,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,387 : 169,794 = 169,794 : x
  2. Step 2: Convert to fraction form
    80,387/169,794 = 169,794/x
  3. Step 3: Cross multiply
    80,387x = 169,794 × 169,794
  4. Step 4: Simplify right side
    80,387x = 28,830,002,436
  5. Step 5: Solve for x
    x = 28,830,002,436/80,387
  6. Step 6: Final answer
    x = 358,640.11

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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.