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Finding the Third Proportional to 172.22 and 246.52

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Solution

The third proportional to 172.22 and 246.52 is: 352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.22 : 246.52 = 246.52 : x
  2. Step 2: Convert to fraction form
    172.22/246.52 = 246.52/x
  3. Step 3: Cross multiply
    172.22x = 246.52 × 246.52
  4. Step 4: Simplify right side
    172.22x = 60,769.95
  5. Step 5: Solve for x
    x = 60,769.95/172.22
  6. Step 6: Final answer
    x = 352.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.