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Finding the Third Proportional to 267,938 and 369,098

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Solution

The third proportional to 267,938 and 369,098 is: 508,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,938 : 369,098 = 369,098 : x
  2. Step 2: Convert to fraction form
    267,938/369,098 = 369,098/x
  3. Step 3: Cross multiply
    267,938x = 369,098 × 369,098
  4. Step 4: Simplify right side
    267,938x = 136,233,333,604
  5. Step 5: Solve for x
    x = 136,233,333,604/267,938
  6. Step 6: Final answer
    x = 508,450.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.