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Finding the Third Proportional to 150,691 and 204,657

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Solution

The third proportional to 150,691 and 204,657 is: 277,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,691 : 204,657 = 204,657 : x
  2. Step 2: Convert to fraction form
    150,691/204,657 = 204,657/x
  3. Step 3: Cross multiply
    150,691x = 204,657 × 204,657
  4. Step 4: Simplify right side
    150,691x = 41,884,487,649
  5. Step 5: Solve for x
    x = 41,884,487,649/150,691
  6. Step 6: Final answer
    x = 277,949.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.