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Finding the Third Proportional to 234.25 and 372.31

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Solution

The third proportional to 234.25 and 372.31 is: 591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.25 : 372.31 = 372.31 : x
  2. Step 2: Convert to fraction form
    234.25/372.31 = 372.31/x
  3. Step 3: Cross multiply
    234.25x = 372.31 × 372.31
  4. Step 4: Simplify right side
    234.25x = 138,616.60
  5. Step 5: Solve for x
    x = 138,616.60/234.25
  6. Step 6: Final answer
    x = 591.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.