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Finding the Third Proportional to 171.72 and 366.22

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Solution

The third proportional to 171.72 and 366.22 is: 781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.72 : 366.22 = 366.22 : x
  2. Step 2: Convert to fraction form
    171.72/366.22 = 366.22/x
  3. Step 3: Cross multiply
    171.72x = 366.22 × 366.22
  4. Step 4: Simplify right side
    171.72x = 134,116.17
  5. Step 5: Solve for x
    x = 134,116.17/171.72
  6. Step 6: Final answer
    x = 781.02

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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.