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Finding the Third Proportional to 176.73 and 232.38

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Solution

The third proportional to 176.73 and 232.38 is: 305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.73 : 232.38 = 232.38 : x
  2. Step 2: Convert to fraction form
    176.73/232.38 = 232.38/x
  3. Step 3: Cross multiply
    176.73x = 232.38 × 232.38
  4. Step 4: Simplify right side
    176.73x = 54,001.77
  5. Step 5: Solve for x
    x = 54,001.77/176.73
  6. Step 6: Final answer
    x = 305.56

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.