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Finding the Third Proportional to 173.25 and 232.38

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Solution

The third proportional to 173.25 and 232.38 is: 311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.25 : 232.38 = 232.38 : x
  2. Step 2: Convert to fraction form
    173.25/232.38 = 232.38/x
  3. Step 3: Cross multiply
    173.25x = 232.38 × 232.38
  4. Step 4: Simplify right side
    173.25x = 53,998.14
  5. Step 5: Solve for x
    x = 53,998.14/173.25
  6. Step 6: Final answer
    x = 311.68

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.