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Finding the Third Proportional to 206,844 and 331,862

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Solution

The third proportional to 206,844 and 331,862 is: 532,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844 : 331,862 = 331,862 : x
  2. Step 2: Convert to fraction form
    206,844/331,862 = 331,862/x
  3. Step 3: Cross multiply
    206,844x = 331,862 × 331,862
  4. Step 4: Simplify right side
    206,844x = 110,132,387,044
  5. Step 5: Solve for x
    x = 110,132,387,044/206,844
  6. Step 6: Final answer
    x = 532,441.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.