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Finding the Third Proportional to 220.50 and 564.75

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Solution

The third proportional to 220.50 and 564.75 is: 1,446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 564.75 = 564.75 : x
  2. Step 2: Convert to fraction form
    220.50/564.75 = 564.75/x
  3. Step 3: Cross multiply
    220.50x = 564.75 × 564.75
  4. Step 4: Simplify right side
    220.50x = 318,942.56
  5. Step 5: Solve for x
    x = 318,942.56/220.50
  6. Step 6: Final answer
    x = 1,446.45

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.