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Finding the Third Proportional to 221.50 and 251.88

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Solution

The third proportional to 221.50 and 251.88 is: 286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.50 : 251.88 = 251.88 : x
  2. Step 2: Convert to fraction form
    221.50/251.88 = 251.88/x
  3. Step 3: Cross multiply
    221.50x = 251.88 × 251.88
  4. Step 4: Simplify right side
    221.50x = 63,441.02
  5. Step 5: Solve for x
    x = 63,441.02/221.50
  6. Step 6: Final answer
    x = 286.42

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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.