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Finding the Third Proportional to 267,498 and 356,931

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Solution

The third proportional to 267,498 and 356,931 is: 476,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,498 : 356,931 = 356,931 : x
  2. Step 2: Convert to fraction form
    267,498/356,931 = 356,931/x
  3. Step 3: Cross multiply
    267,498x = 356,931 × 356,931
  4. Step 4: Simplify right side
    267,498x = 127,399,738,761
  5. Step 5: Solve for x
    x = 127,399,738,761/267,498
  6. Step 6: Final answer
    x = 476,264.27

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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.