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Finding the Third Proportional to 174.56 and 371.91

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Solution

The third proportional to 174.56 and 371.91 is: 792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 371.91 = 371.91 : x
  2. Step 2: Convert to fraction form
    174.56/371.91 = 371.91/x
  3. Step 3: Cross multiply
    174.56x = 371.91 × 371.91
  4. Step 4: Simplify right side
    174.56x = 138,314.26
  5. Step 5: Solve for x
    x = 138,314.26/174.56
  6. Step 6: Final answer
    x = 792.35

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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.