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Finding the Third Proportional to 214.03 and 462.09

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Solution

The third proportional to 214.03 and 462.09 is: 997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.03 : 462.09 = 462.09 : x
  2. Step 2: Convert to fraction form
    214.03/462.09 = 462.09/x
  3. Step 3: Cross multiply
    214.03x = 462.09 × 462.09
  4. Step 4: Simplify right side
    214.03x = 213,530.63
  5. Step 5: Solve for x
    x = 213,530.63/214.03
  6. Step 6: Final answer
    x = 997.66

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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.