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Finding the Third Proportional to 174 and 371.63

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Solution

The third proportional to 174 and 371.63 is: 793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 371.63 = 371.63 : x
  2. Step 2: Convert to fraction form
    174/371.63 = 371.63/x
  3. Step 3: Cross multiply
    174x = 371.63 × 371.63
  4. Step 4: Simplify right side
    174x = 138,105.14
  5. Step 5: Solve for x
    x = 138,105.14/174
  6. Step 6: Final answer
    x = 793.71

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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.