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Finding the Third Proportional to 172.19 and 225.56

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Solution

The third proportional to 172.19 and 225.56 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.19 : 225.56 = 225.56 : x
  2. Step 2: Convert to fraction form
    172.19/225.56 = 225.56/x
  3. Step 3: Cross multiply
    172.19x = 225.56 × 225.56
  4. Step 4: Simplify right side
    172.19x = 50,878.44
  5. Step 5: Solve for x
    x = 50,878.44/172.19
  6. Step 6: Final answer
    x = 295.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.