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Finding the Third Proportional to 220.75 and 514.25

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Solution

The third proportional to 220.75 and 514.25 is: 1,197.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.75 : 514.25 = 514.25 : x
  2. Step 2: Convert to fraction form
    220.75/514.25 = 514.25/x
  3. Step 3: Cross multiply
    220.75x = 514.25 × 514.25
  4. Step 4: Simplify right side
    220.75x = 264,453.06
  5. Step 5: Solve for x
    x = 264,453.06/220.75
  6. Step 6: Final answer
    x = 1,197.98

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.