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Finding the Third Proportional to 214.75 and 512.13

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Solution

The third proportional to 214.75 and 512.13 is: 1,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 512.13 = 512.13 : x
  2. Step 2: Convert to fraction form
    214.75/512.13 = 512.13/x
  3. Step 3: Cross multiply
    214.75x = 512.13 × 512.13
  4. Step 4: Simplify right side
    214.75x = 262,272.02
  5. Step 5: Solve for x
    x = 262,272.02/214.75
  6. Step 6: Final answer
    x = 1,221.29

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.