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Finding the Third Proportional to 181,882 and 280,599

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Solution

The third proportional to 181,882 and 280,599 is: 432,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,882 : 280,599 = 280,599 : x
  2. Step 2: Convert to fraction form
    181,882/280,599 = 280,599/x
  3. Step 3: Cross multiply
    181,882x = 280,599 × 280,599
  4. Step 4: Simplify right side
    181,882x = 78,735,798,801
  5. Step 5: Solve for x
    x = 78,735,798,801/181,882
  6. Step 6: Final answer
    x = 432,894.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.