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Finding the Third Proportional to 174.66 and 378.74

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Solution

The third proportional to 174.66 and 378.74 is: 821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 378.74 = 378.74 : x
  2. Step 2: Convert to fraction form
    174.66/378.74 = 378.74/x
  3. Step 3: Cross multiply
    174.66x = 378.74 × 378.74
  4. Step 4: Simplify right side
    174.66x = 143,442.69
  5. Step 5: Solve for x
    x = 143,442.69/174.66
  6. Step 6: Final answer
    x = 821.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.