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Finding the Third Proportional to 176.44 and 198.38

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Solution

The third proportional to 176.44 and 198.38 is: 223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.44 : 198.38 = 198.38 : x
  2. Step 2: Convert to fraction form
    176.44/198.38 = 198.38/x
  3. Step 3: Cross multiply
    176.44x = 198.38 × 198.38
  4. Step 4: Simplify right side
    176.44x = 39,352.64
  5. Step 5: Solve for x
    x = 39,352.64/176.44
  6. Step 6: Final answer
    x = 223.04

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.