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Finding the Third Proportional to 267,748 and 356,957

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Solution

The third proportional to 267,748 and 356,957 is: 475,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,748 : 356,957 = 356,957 : x
  2. Step 2: Convert to fraction form
    267,748/356,957 = 356,957/x
  3. Step 3: Cross multiply
    267,748x = 356,957 × 356,957
  4. Step 4: Simplify right side
    267,748x = 127,418,299,849
  5. Step 5: Solve for x
    x = 127,418,299,849/267,748
  6. Step 6: Final answer
    x = 475,888.89

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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.