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Finding the Third Proportional to 173.00 and 371.62

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Solution

The third proportional to 173.00 and 371.62 is: 798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.00 : 371.62 = 371.62 : x
  2. Step 2: Convert to fraction form
    173.00/371.62 = 371.62/x
  3. Step 3: Cross multiply
    173.00x = 371.62 × 371.62
  4. Step 4: Simplify right side
    173.00x = 138,100.79
  5. Step 5: Solve for x
    x = 138,100.79/173.00
  6. Step 6: Final answer
    x = 798.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.