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Finding the Third Proportional to 180,794 and 267,500

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Solution

The third proportional to 180,794 and 267,500 is: 395,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,794 : 267,500 = 267,500 : x
  2. Step 2: Convert to fraction form
    180,794/267,500 = 267,500/x
  3. Step 3: Cross multiply
    180,794x = 267,500 × 267,500
  4. Step 4: Simplify right side
    180,794x = 71,556,250,000
  5. Step 5: Solve for x
    x = 71,556,250,000/180,794
  6. Step 6: Final answer
    x = 395,788.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.