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Finding the Third Proportional to 167.91 and 367.66

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Solution

The third proportional to 167.91 and 367.66 is: 805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.91 : 367.66 = 367.66 : x
  2. Step 2: Convert to fraction form
    167.91/367.66 = 367.66/x
  3. Step 3: Cross multiply
    167.91x = 367.66 × 367.66
  4. Step 4: Simplify right side
    167.91x = 135,176.86
  5. Step 5: Solve for x
    x = 135,176.86/167.91
  6. Step 6: Final answer
    x = 805.07

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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.