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Finding the Third Proportional to 214.13 and 462.19

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Solution

The third proportional to 214.13 and 462.19 is: 997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 462.19 = 462.19 : x
  2. Step 2: Convert to fraction form
    214.13/462.19 = 462.19/x
  3. Step 3: Cross multiply
    214.13x = 462.19 × 462.19
  4. Step 4: Simplify right side
    214.13x = 213,617.29
  5. Step 5: Solve for x
    x = 213,617.29/214.13
  6. Step 6: Final answer
    x = 997.63

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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.