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Finding the Third Proportional to 76.36 and 167.38

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Solution

The third proportional to 76.36 and 167.38 is: 366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.36 : 167.38 = 167.38 : x
  2. Step 2: Convert to fraction form
    76.36/167.38 = 167.38/x
  3. Step 3: Cross multiply
    76.36x = 167.38 × 167.38
  4. Step 4: Simplify right side
    76.36x = 28,015.70
  5. Step 5: Solve for x
    x = 28,015.70/76.36
  6. Step 6: Final answer
    x = 366.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.