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Finding the Third Proportional to 267,546 and 356,667

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Solution

The third proportional to 267,546 and 356,667 is: 475,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546 : 356,667 = 356,667 : x
  2. Step 2: Convert to fraction form
    267,546/356,667 = 356,667/x
  3. Step 3: Cross multiply
    267,546x = 356,667 × 356,667
  4. Step 4: Simplify right side
    267,546x = 127,211,348,889
  5. Step 5: Solve for x
    x = 127,211,348,889/267,546
  6. Step 6: Final answer
    x = 475,474.68

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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.