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Finding the Third Proportional to 267,698 and 356,883

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Solution

The third proportional to 267,698 and 356,883 is: 475,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,698 : 356,883 = 356,883 : x
  2. Step 2: Convert to fraction form
    267,698/356,883 = 356,883/x
  3. Step 3: Cross multiply
    267,698x = 356,883 × 356,883
  4. Step 4: Simplify right side
    267,698x = 127,365,475,689
  5. Step 5: Solve for x
    x = 127,365,475,689/267,698
  6. Step 6: Final answer
    x = 475,780.45

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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.