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Finding the Third Proportional to 234.46 and 332.23

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Solution

The third proportional to 234.46 and 332.23 is: 470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.46 : 332.23 = 332.23 : x
  2. Step 2: Convert to fraction form
    234.46/332.23 = 332.23/x
  3. Step 3: Cross multiply
    234.46x = 332.23 × 332.23
  4. Step 4: Simplify right side
    234.46x = 110,374.49
  5. Step 5: Solve for x
    x = 110,374.49/234.46
  6. Step 6: Final answer
    x = 470.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.