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Finding the Third Proportional to 115,717.50 and 176,239.13

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Solution

The third proportional to 115,717.50 and 176,239.13 is: 268,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,717.50 : 176,239.13 = 176,239.13 : x
  2. Step 2: Convert to fraction form
    115,717.50/176,239.13 = 176,239.13/x
  3. Step 3: Cross multiply
    115,717.50x = 176,239.13 × 176,239.13
  4. Step 4: Simplify right side
    115,717.50x = 31,060,229,180.77
  5. Step 5: Solve for x
    x = 31,060,229,180.77/115,717.50
  6. Step 6: Final answer
    x = 268,414.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.