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Finding the Third Proportional to 174.80 and 371.95

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Solution

The third proportional to 174.80 and 371.95 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.80 : 371.95 = 371.95 : x
  2. Step 2: Convert to fraction form
    174.80/371.95 = 371.95/x
  3. Step 3: Cross multiply
    174.80x = 371.95 × 371.95
  4. Step 4: Simplify right side
    174.80x = 138,349.13
  5. Step 5: Solve for x
    x = 138,349.13/174.80
  6. Step 6: Final answer
    x = 791.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.