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Finding the Third Proportional to 219.75 and 321.75

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Solution

The third proportional to 219.75 and 321.75 is: 471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 321.75 = 321.75 : x
  2. Step 2: Convert to fraction form
    219.75/321.75 = 321.75/x
  3. Step 3: Cross multiply
    219.75x = 321.75 × 321.75
  4. Step 4: Simplify right side
    219.75x = 103,523.06
  5. Step 5: Solve for x
    x = 103,523.06/219.75
  6. Step 6: Final answer
    x = 471.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.