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Finding the Third Proportional to 267,687 and 356,877

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Solution

The third proportional to 267,687 and 356,877 is: 475,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,687 : 356,877 = 356,877 : x
  2. Step 2: Convert to fraction form
    267,687/356,877 = 356,877/x
  3. Step 3: Cross multiply
    267,687x = 356,877 × 356,877
  4. Step 4: Simplify right side
    267,687x = 127,361,193,129
  5. Step 5: Solve for x
    x = 127,361,193,129/267,687
  6. Step 6: Final answer
    x = 475,784.01

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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.