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Finding the Third Proportional to 196.31 and 300.75

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Solution

The third proportional to 196.31 and 300.75 is: 460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 300.75 = 300.75 : x
  2. Step 2: Convert to fraction form
    196.31/300.75 = 300.75/x
  3. Step 3: Cross multiply
    196.31x = 300.75 × 300.75
  4. Step 4: Simplify right side
    196.31x = 90,450.56
  5. Step 5: Solve for x
    x = 90,450.56/196.31
  6. Step 6: Final answer
    x = 460.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.