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Finding the Third Proportional to 197.02 and 297.94

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Solution

The third proportional to 197.02 and 297.94 is: 450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 297.94 = 297.94 : x
  2. Step 2: Convert to fraction form
    197.02/297.94 = 297.94/x
  3. Step 3: Cross multiply
    197.02x = 297.94 × 297.94
  4. Step 4: Simplify right side
    197.02x = 88,765.88
  5. Step 5: Solve for x
    x = 88,765.88/197.02
  6. Step 6: Final answer
    x = 450.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.