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Finding the Third Proportional to 150,691 and 206,627

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Solution

The third proportional to 150,691 and 206,627 is: 283,326.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,691 : 206,627 = 206,627 : x
  2. Step 2: Convert to fraction form
    150,691/206,627 = 206,627/x
  3. Step 3: Cross multiply
    150,691x = 206,627 × 206,627
  4. Step 4: Simplify right side
    150,691x = 42,694,717,129
  5. Step 5: Solve for x
    x = 42,694,717,129/150,691
  6. Step 6: Final answer
    x = 283,326.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.