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Finding the Third Proportional to 214.13 and 486.38

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Solution

The third proportional to 214.13 and 486.38 is: 1,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.13 : 486.38 = 486.38 : x
  2. Step 2: Convert to fraction form
    214.13/486.38 = 486.38/x
  3. Step 3: Cross multiply
    214.13x = 486.38 × 486.38
  4. Step 4: Simplify right side
    214.13x = 236,560.64
  5. Step 5: Solve for x
    x = 236,560.64/214.13
  6. Step 6: Final answer
    x = 1,104.78

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.