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Finding the Third Proportional to 219 and 329.25

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Solution

The third proportional to 219 and 329.25 is: 495.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219 : 329.25 = 329.25 : x
  2. Step 2: Convert to fraction form
    219/329.25 = 329.25/x
  3. Step 3: Cross multiply
    219x = 329.25 × 329.25
  4. Step 4: Simplify right side
    219x = 108,405.56
  5. Step 5: Solve for x
    x = 108,405.56/219
  6. Step 6: Final answer
    x = 495.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.