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Finding the Third Proportional to 267,550 and 366,879

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Solution

The third proportional to 267,550 and 366,879 is: 503,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,550 : 366,879 = 366,879 : x
  2. Step 2: Convert to fraction form
    267,550/366,879 = 366,879/x
  3. Step 3: Cross multiply
    267,550x = 366,879 × 366,879
  4. Step 4: Simplify right side
    267,550x = 134,600,200,641
  5. Step 5: Solve for x
    x = 134,600,200,641/267,550
  6. Step 6: Final answer
    x = 503,084.29

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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.