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Finding the Third Proportional to 197.06 and 433.31

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Solution

The third proportional to 197.06 and 433.31 is: 952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 433.31 = 433.31 : x
  2. Step 2: Convert to fraction form
    197.06/433.31 = 433.31/x
  3. Step 3: Cross multiply
    197.06x = 433.31 × 433.31
  4. Step 4: Simplify right side
    197.06x = 187,759.72
  5. Step 5: Solve for x
    x = 187,759.72/197.06
  6. Step 6: Final answer
    x = 952.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.