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Finding the Third Proportional to 119,801 and 284,882

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Solution

The third proportional to 119,801 and 284,882 is: 677,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,801 : 284,882 = 284,882 : x
  2. Step 2: Convert to fraction form
    119,801/284,882 = 284,882/x
  3. Step 3: Cross multiply
    119,801x = 284,882 × 284,882
  4. Step 4: Simplify right side
    119,801x = 81,157,753,924
  5. Step 5: Solve for x
    x = 81,157,753,924/119,801
  6. Step 6: Final answer
    x = 677,438.03

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.