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Finding the Third Proportional to 172,540.13 and 253,008.56

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Solution

The third proportional to 172,540.13 and 253,008.56 is: 371,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,540.13 : 253,008.56 = 253,008.56 : x
  2. Step 2: Convert to fraction form
    172,540.13/253,008.56 = 253,008.56/x
  3. Step 3: Cross multiply
    172,540.13x = 253,008.56 × 253,008.56
  4. Step 4: Simplify right side
    172,540.13x = 64,013,332,698.32
  5. Step 5: Solve for x
    x = 64,013,332,698.32/172,540.13
  6. Step 6: Final answer
    x = 371,005.48

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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.