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Finding the Third Proportional to 115,750 and 234,717.50

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Solution

The third proportional to 115,750 and 234,717.50 is: 475,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,750 : 234,717.50 = 234,717.50 : x
  2. Step 2: Convert to fraction form
    115,750/234,717.50 = 234,717.50/x
  3. Step 3: Cross multiply
    115,750x = 234,717.50 × 234,717.50
  4. Step 4: Simplify right side
    115,750x = 55,092,304,806.25
  5. Step 5: Solve for x
    x = 55,092,304,806.25/115,750
  6. Step 6: Final answer
    x = 475,959.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.