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Finding the Third Proportional to 214.31 and 453.94

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Solution

The third proportional to 214.31 and 453.94 is: 961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 453.94 = 453.94 : x
  2. Step 2: Convert to fraction form
    214.31/453.94 = 453.94/x
  3. Step 3: Cross multiply
    214.31x = 453.94 × 453.94
  4. Step 4: Simplify right side
    214.31x = 206,059.25
  5. Step 5: Solve for x
    x = 206,059.25/214.31
  6. Step 6: Final answer
    x = 961.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.