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Finding the Third Proportional to 214.75 and 244.38

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Solution

The third proportional to 214.75 and 244.38 is: 278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.75 : 244.38 = 244.38 : x
  2. Step 2: Convert to fraction form
    214.75/244.38 = 244.38/x
  3. Step 3: Cross multiply
    214.75x = 244.38 × 244.38
  4. Step 4: Simplify right side
    214.75x = 59,719.14
  5. Step 5: Solve for x
    x = 59,719.14/214.75
  6. Step 6: Final answer
    x = 278.09

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.