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Finding the Third Proportional to 214.31 and 462.38

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Solution

The third proportional to 214.31 and 462.38 is: 997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 462.38 = 462.38 : x
  2. Step 2: Convert to fraction form
    214.31/462.38 = 462.38/x
  3. Step 3: Cross multiply
    214.31x = 462.38 × 462.38
  4. Step 4: Simplify right side
    214.31x = 213,790.64
  5. Step 5: Solve for x
    x = 213,790.64/214.31
  6. Step 6: Final answer
    x = 997.56

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Why These Related Problems?

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