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Finding the Third Proportional to 234.25 and 310.75

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Solution

The third proportional to 234.25 and 310.75 is: 412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.25 : 310.75 = 310.75 : x
  2. Step 2: Convert to fraction form
    234.25/310.75 = 310.75/x
  3. Step 3: Cross multiply
    234.25x = 310.75 × 310.75
  4. Step 4: Simplify right side
    234.25x = 96,565.56
  5. Step 5: Solve for x
    x = 96,565.56/234.25
  6. Step 6: Final answer
    x = 412.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.