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Finding the Third Proportional to 173.16 and 372.47

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Solution

The third proportional to 173.16 and 372.47 is: 801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.16 : 372.47 = 372.47 : x
  2. Step 2: Convert to fraction form
    173.16/372.47 = 372.47/x
  3. Step 3: Cross multiply
    173.16x = 372.47 × 372.47
  4. Step 4: Simplify right side
    173.16x = 138,732.97
  5. Step 5: Solve for x
    x = 138,732.97/173.16
  6. Step 6: Final answer
    x = 801.20

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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.