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Finding the Third Proportional to 224 and 251

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Solution

The third proportional to 224 and 251 is: 281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 251 = 251 : x
  2. Step 2: Convert to fraction form
    224/251 = 251/x
  3. Step 3: Cross multiply
    224x = 251 × 251
  4. Step 4: Simplify right side
    224x = 63,001
  5. Step 5: Solve for x
    x = 63,001/224
  6. Step 6: Final answer
    x = 281.25

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.