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Finding the Third Proportional to 172,373.70 and 267,525.91

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Solution

The third proportional to 172,373.70 and 267,525.91 is: 415,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,373.70 : 267,525.91 = 267,525.91 : x
  2. Step 2: Convert to fraction form
    172,373.70/267,525.91 = 267,525.91/x
  3. Step 3: Cross multiply
    172,373.70x = 267,525.91 × 267,525.91
  4. Step 4: Simplify right side
    172,373.70x = 71,570,114,694.98
  5. Step 5: Solve for x
    x = 71,570,114,694.98/172,373.70
  6. Step 6: Final answer
    x = 415,203.23

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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.