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Finding the Third Proportional to 172,261.69 and 253,469.25

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Solution

The third proportional to 172,261.69 and 253,469.25 is: 372,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,261.69 : 253,469.25 = 253,469.25 : x
  2. Step 2: Convert to fraction form
    172,261.69/253,469.25 = 253,469.25/x
  3. Step 3: Cross multiply
    172,261.69x = 253,469.25 × 253,469.25
  4. Step 4: Simplify right side
    172,261.69x = 64,246,660,695.56
  5. Step 5: Solve for x
    x = 64,246,660,695.56/172,261.69
  6. Step 6: Final answer
    x = 372,959.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.