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Finding the Third Proportional to 174.59 and 363.66

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Solution

The third proportional to 174.59 and 363.66 is: 757.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.59 : 363.66 = 363.66 : x
  2. Step 2: Convert to fraction form
    174.59/363.66 = 363.66/x
  3. Step 3: Cross multiply
    174.59x = 363.66 × 363.66
  4. Step 4: Simplify right side
    174.59x = 132,245.87
  5. Step 5: Solve for x
    x = 132,245.87/174.59
  6. Step 6: Final answer
    x = 757.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.