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Finding the Third Proportional to 197.44 and 414.70

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Solution

The third proportional to 197.44 and 414.70 is: 871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 414.70 = 414.70 : x
  2. Step 2: Convert to fraction form
    197.44/414.70 = 414.70/x
  3. Step 3: Cross multiply
    197.44x = 414.70 × 414.70
  4. Step 4: Simplify right side
    197.44x = 171,978.68
  5. Step 5: Solve for x
    x = 171,978.68/197.44
  6. Step 6: Final answer
    x = 871.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.