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Finding the Third Proportional to 267,748 and 356,958

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Solution

The third proportional to 267,748 and 356,958 is: 475,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,748 : 356,958 = 356,958 : x
  2. Step 2: Convert to fraction form
    267,748/356,958 = 356,958/x
  3. Step 3: Cross multiply
    267,748x = 356,958 × 356,958
  4. Step 4: Simplify right side
    267,748x = 127,419,013,764
  5. Step 5: Solve for x
    x = 127,419,013,764/267,748
  6. Step 6: Final answer
    x = 475,891.56

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