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Finding the Third Proportional to 323.91 and 461.81

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Solution

The third proportional to 323.91 and 461.81 is: 658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.91 : 461.81 = 461.81 : x
  2. Step 2: Convert to fraction form
    323.91/461.81 = 461.81/x
  3. Step 3: Cross multiply
    323.91x = 461.81 × 461.81
  4. Step 4: Simplify right side
    323.91x = 213,270.79
  5. Step 5: Solve for x
    x = 213,270.79/323.91
  6. Step 6: Final answer
    x = 658.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.