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Finding the Third Proportional to 267,550 and 356,672

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Solution

The third proportional to 267,550 and 356,672 is: 475,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,550 : 356,672 = 356,672 : x
  2. Step 2: Convert to fraction form
    267,550/356,672 = 356,672/x
  3. Step 3: Cross multiply
    267,550x = 356,672 × 356,672
  4. Step 4: Simplify right side
    267,550x = 127,214,915,584
  5. Step 5: Solve for x
    x = 127,214,915,584/267,550
  6. Step 6: Final answer
    x = 475,480.90

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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.