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Finding the Third Proportional to 221.75 and 356.25

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Solution

The third proportional to 221.75 and 356.25 is: 572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 356.25 = 356.25 : x
  2. Step 2: Convert to fraction form
    221.75/356.25 = 356.25/x
  3. Step 3: Cross multiply
    221.75x = 356.25 × 356.25
  4. Step 4: Simplify right side
    221.75x = 126,914.06
  5. Step 5: Solve for x
    x = 126,914.06/221.75
  6. Step 6: Final answer
    x = 572.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.