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Finding the Third Proportional to 267,227 and 401,192

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Solution

The third proportional to 267,227 and 401,192 is: 602,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,227 : 401,192 = 401,192 : x
  2. Step 2: Convert to fraction form
    267,227/401,192 = 401,192/x
  3. Step 3: Cross multiply
    267,227x = 401,192 × 401,192
  4. Step 4: Simplify right side
    267,227x = 160,955,020,864
  5. Step 5: Solve for x
    x = 160,955,020,864/267,227
  6. Step 6: Final answer
    x = 602,315.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.