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Finding the Third Proportional to 267,540.75 and 366,865.88

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Solution

The third proportional to 267,540.75 and 366,865.88 is: 503,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,540.75 : 366,865.88 = 366,865.88 : x
  2. Step 2: Convert to fraction form
    267,540.75/366,865.88 = 366,865.88/x
  3. Step 3: Cross multiply
    267,540.75x = 366,865.88 × 366,865.88
  4. Step 4: Simplify right side
    267,540.75x = 134,590,570,239.52
  5. Step 5: Solve for x
    x = 134,590,570,239.52/267,540.75
  6. Step 6: Final answer
    x = 503,065.68

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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.