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Finding the Third Proportional to 95.44 and 174.38

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Solution

The third proportional to 95.44 and 174.38 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.44 : 174.38 = 174.38 : x
  2. Step 2: Convert to fraction form
    95.44/174.38 = 174.38/x
  3. Step 3: Cross multiply
    95.44x = 174.38 × 174.38
  4. Step 4: Simplify right side
    95.44x = 30,406.64
  5. Step 5: Solve for x
    x = 30,406.64/95.44
  6. Step 6: Final answer
    x = 318.60

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.