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Finding the Third Proportional to 212.31 and 458.79

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Solution

The third proportional to 212.31 and 458.79 is: 991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.31 : 458.79 = 458.79 : x
  2. Step 2: Convert to fraction form
    212.31/458.79 = 458.79/x
  3. Step 3: Cross multiply
    212.31x = 458.79 × 458.79
  4. Step 4: Simplify right side
    212.31x = 210,487.40
  5. Step 5: Solve for x
    x = 210,487.40/212.31
  6. Step 6: Final answer
    x = 991.42

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