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Finding the Third Proportional to 214.52 and 251.44

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Solution

The third proportional to 214.52 and 251.44 is: 294.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 251.44 = 251.44 : x
  2. Step 2: Convert to fraction form
    214.52/251.44 = 251.44/x
  3. Step 3: Cross multiply
    214.52x = 251.44 × 251.44
  4. Step 4: Simplify right side
    214.52x = 63,220.82
  5. Step 5: Solve for x
    x = 63,220.82/214.52
  6. Step 6: Final answer
    x = 294.70

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.