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Finding the Third Proportional to 331.69 and 467.81

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Solution

The third proportional to 331.69 and 467.81 is: 659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.69 : 467.81 = 467.81 : x
  2. Step 2: Convert to fraction form
    331.69/467.81 = 467.81/x
  3. Step 3: Cross multiply
    331.69x = 467.81 × 467.81
  4. Step 4: Simplify right side
    331.69x = 218,848.54
  5. Step 5: Solve for x
    x = 218,848.54/331.69
  6. Step 6: Final answer
    x = 659.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.