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Finding the Third Proportional to 174.45 and 366.86

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Solution

The third proportional to 174.45 and 366.86 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 366.86 = 366.86 : x
  2. Step 2: Convert to fraction form
    174.45/366.86 = 366.86/x
  3. Step 3: Cross multiply
    174.45x = 366.86 × 366.86
  4. Step 4: Simplify right side
    174.45x = 134,585.80
  5. Step 5: Solve for x
    x = 134,585.80/174.45
  6. Step 6: Final answer
    x = 771.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.