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Finding the Third Proportional to 232.75 and 324.88

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Solution

The third proportional to 232.75 and 324.88 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 324.88 = 324.88 : x
  2. Step 2: Convert to fraction form
    232.75/324.88 = 324.88/x
  3. Step 3: Cross multiply
    232.75x = 324.88 × 324.88
  4. Step 4: Simplify right side
    232.75x = 105,543.77
  5. Step 5: Solve for x
    x = 105,543.77/232.75
  6. Step 6: Final answer
    x = 453.46

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Why These Related Problems?

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