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Finding the Third Proportional to 232.88 and 326.53

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Solution

The third proportional to 232.88 and 326.53 is: 457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 326.53 = 326.53 : x
  2. Step 2: Convert to fraction form
    232.88/326.53 = 326.53/x
  3. Step 3: Cross multiply
    232.88x = 326.53 × 326.53
  4. Step 4: Simplify right side
    232.88x = 106,622.66
  5. Step 5: Solve for x
    x = 106,622.66/232.88
  6. Step 6: Final answer
    x = 457.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.