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Finding the Third Proportional to 172,392.75 and 267,610.50

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Solution

The third proportional to 172,392.75 and 267,610.50 is: 415,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,392.75 : 267,610.50 = 267,610.50 : x
  2. Step 2: Convert to fraction form
    172,392.75/267,610.50 = 267,610.50/x
  3. Step 3: Cross multiply
    172,392.75x = 267,610.50 × 267,610.50
  4. Step 4: Simplify right side
    172,392.75x = 71,615,379,710.25
  5. Step 5: Solve for x
    x = 71,615,379,710.25/172,392.75
  6. Step 6: Final answer
    x = 415,419.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.