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Finding the Third Proportional to 197.06 and 426.19

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Solution

The third proportional to 197.06 and 426.19 is: 921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 426.19 = 426.19 : x
  2. Step 2: Convert to fraction form
    197.06/426.19 = 426.19/x
  3. Step 3: Cross multiply
    197.06x = 426.19 × 426.19
  4. Step 4: Simplify right side
    197.06x = 181,635.79
  5. Step 5: Solve for x
    x = 181,635.79/197.06
  6. Step 6: Final answer
    x = 921.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.