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Finding the Third Proportional to 267,711 and 356,908

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Solution

The third proportional to 267,711 and 356,908 is: 475,824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,711 : 356,908 = 356,908 : x
  2. Step 2: Convert to fraction form
    267,711/356,908 = 356,908/x
  3. Step 3: Cross multiply
    267,711x = 356,908 × 356,908
  4. Step 4: Simplify right side
    267,711x = 127,383,320,464
  5. Step 5: Solve for x
    x = 127,383,320,464/267,711
  6. Step 6: Final answer
    x = 475,824.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.