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Finding the Third Proportional to 197.13 and 410.44

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Solution

The third proportional to 197.13 and 410.44 is: 854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.13 : 410.44 = 410.44 : x
  2. Step 2: Convert to fraction form
    197.13/410.44 = 410.44/x
  3. Step 3: Cross multiply
    197.13x = 410.44 × 410.44
  4. Step 4: Simplify right side
    197.13x = 168,458.94
  5. Step 5: Solve for x
    x = 168,458.94/197.13
  6. Step 6: Final answer
    x = 854.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.