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Finding the Third Proportional to 167.91 and 365.91

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Solution

The third proportional to 167.91 and 365.91 is: 797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.91 : 365.91 = 365.91 : x
  2. Step 2: Convert to fraction form
    167.91/365.91 = 365.91/x
  3. Step 3: Cross multiply
    167.91x = 365.91 × 365.91
  4. Step 4: Simplify right side
    167.91x = 133,887.38
  5. Step 5: Solve for x
    x = 133,887.38/167.91
  6. Step 6: Final answer
    x = 797.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.