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Finding the Third Proportional to 267,589 and 366,937

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Solution

The third proportional to 267,589 and 366,937 is: 503,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,589 : 366,937 = 366,937 : x
  2. Step 2: Convert to fraction form
    267,589/366,937 = 366,937/x
  3. Step 3: Cross multiply
    267,589x = 366,937 × 366,937
  4. Step 4: Simplify right side
    267,589x = 134,642,761,969
  5. Step 5: Solve for x
    x = 134,642,761,969/267,589
  6. Step 6: Final answer
    x = 503,170.02

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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.