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Finding the Third Proportional to 204 and 329.50

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Solution

The third proportional to 204 and 329.50 is: 532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 329.50 = 329.50 : x
  2. Step 2: Convert to fraction form
    204/329.50 = 329.50/x
  3. Step 3: Cross multiply
    204x = 329.50 × 329.50
  4. Step 4: Simplify right side
    204x = 108,570.25
  5. Step 5: Solve for x
    x = 108,570.25/204
  6. Step 6: Final answer
    x = 532.21

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.