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Finding the Third Proportional to 79.31 and 190.69

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Solution

The third proportional to 79.31 and 190.69 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.31 : 190.69 = 190.69 : x
  2. Step 2: Convert to fraction form
    79.31/190.69 = 190.69/x
  3. Step 3: Cross multiply
    79.31x = 190.69 × 190.69
  4. Step 4: Simplify right side
    79.31x = 36,361.72
  5. Step 5: Solve for x
    x = 36,361.72/79.31
  6. Step 6: Final answer
    x = 458.46

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.