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Finding the Third Proportional to 176.82 and 231.03

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Solution

The third proportional to 176.82 and 231.03 is: 301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.82 : 231.03 = 231.03 : x
  2. Step 2: Convert to fraction form
    176.82/231.03 = 231.03/x
  3. Step 3: Cross multiply
    176.82x = 231.03 × 231.03
  4. Step 4: Simplify right side
    176.82x = 53,374.54
  5. Step 5: Solve for x
    x = 53,374.54/176.82
  6. Step 6: Final answer
    x = 301.86

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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.