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Finding the Third Proportional to 197.12 and 399.94

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Solution

The third proportional to 197.12 and 399.94 is: 811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.12 : 399.94 = 399.94 : x
  2. Step 2: Convert to fraction form
    197.12/399.94 = 399.94/x
  3. Step 3: Cross multiply
    197.12x = 399.94 × 399.94
  4. Step 4: Simplify right side
    197.12x = 159,950.00
  5. Step 5: Solve for x
    x = 159,950.00/197.12
  6. Step 6: Final answer
    x = 811.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.