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Finding the Third Proportional to 188,049 and 391,651

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Solution

The third proportional to 188,049 and 391,651 is: 815,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,049 : 391,651 = 391,651 : x
  2. Step 2: Convert to fraction form
    188,049/391,651 = 391,651/x
  3. Step 3: Cross multiply
    188,049x = 391,651 × 391,651
  4. Step 4: Simplify right side
    188,049x = 153,390,505,801
  5. Step 5: Solve for x
    x = 153,390,505,801/188,049
  6. Step 6: Final answer
    x = 815,694.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.