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Finding the Third Proportional to 173.60 and 371.83

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Solution

The third proportional to 173.60 and 371.83 is: 796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.60 : 371.83 = 371.83 : x
  2. Step 2: Convert to fraction form
    173.60/371.83 = 371.83/x
  3. Step 3: Cross multiply
    173.60x = 371.83 × 371.83
  4. Step 4: Simplify right side
    173.60x = 138,257.61
  5. Step 5: Solve for x
    x = 138,257.61/173.60
  6. Step 6: Final answer
    x = 796.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.