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Finding the Third Proportional to 267,546 and 366,872

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Solution

The third proportional to 267,546 and 366,872 is: 503,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546 : 366,872 = 366,872 : x
  2. Step 2: Convert to fraction form
    267,546/366,872 = 366,872/x
  3. Step 3: Cross multiply
    267,546x = 366,872 × 366,872
  4. Step 4: Simplify right side
    267,546x = 134,595,064,384
  5. Step 5: Solve for x
    x = 134,595,064,384/267,546
  6. Step 6: Final answer
    x = 503,072.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.