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Finding the Third Proportional to 223.25 and 326.75

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Solution

The third proportional to 223.25 and 326.75 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.25 : 326.75 = 326.75 : x
  2. Step 2: Convert to fraction form
    223.25/326.75 = 326.75/x
  3. Step 3: Cross multiply
    223.25x = 326.75 × 326.75
  4. Step 4: Simplify right side
    223.25x = 106,765.56
  5. Step 5: Solve for x
    x = 106,765.56/223.25
  6. Step 6: Final answer
    x = 478.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.