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Finding the Third Proportional to 267,954 and 369,123

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Solution

The third proportional to 267,954 and 369,123 is: 508,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,954 : 369,123 = 369,123 : x
  2. Step 2: Convert to fraction form
    267,954/369,123 = 369,123/x
  3. Step 3: Cross multiply
    267,954x = 369,123 × 369,123
  4. Step 4: Simplify right side
    267,954x = 136,251,789,129
  5. Step 5: Solve for x
    x = 136,251,789,129/267,954
  6. Step 6: Final answer
    x = 508,489.48

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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.