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Finding the Third Proportional to 231.38 and 467.81

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Solution

The third proportional to 231.38 and 467.81 is: 945.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.38 : 467.81 = 467.81 : x
  2. Step 2: Convert to fraction form
    231.38/467.81 = 467.81/x
  3. Step 3: Cross multiply
    231.38x = 467.81 × 467.81
  4. Step 4: Simplify right side
    231.38x = 218,848.54
  5. Step 5: Solve for x
    x = 218,848.54/231.38
  6. Step 6: Final answer
    x = 945.86

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.