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Finding the Third Proportional to 160,233.75 and 251,350.25

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Solution

The third proportional to 160,233.75 and 251,350.25 is: 394,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,233.75 : 251,350.25 = 251,350.25 : x
  2. Step 2: Convert to fraction form
    160,233.75/251,350.25 = 251,350.25/x
  3. Step 3: Cross multiply
    160,233.75x = 251,350.25 × 251,350.25
  4. Step 4: Simplify right side
    160,233.75x = 63,176,948,175.06
  5. Step 5: Solve for x
    x = 63,176,948,175.06/160,233.75
  6. Step 6: Final answer
    x = 394,279.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.