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Finding the Third Proportional to 146.81 and 217.69

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Solution

The third proportional to 146.81 and 217.69 is: 322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 217.69 = 217.69 : x
  2. Step 2: Convert to fraction form
    146.81/217.69 = 217.69/x
  3. Step 3: Cross multiply
    146.81x = 217.69 × 217.69
  4. Step 4: Simplify right side
    146.81x = 47,387.85
  5. Step 5: Solve for x
    x = 47,387.85/146.81
  6. Step 6: Final answer
    x = 322.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.