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Finding the Third Proportional to 204.25 and 438.88

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Solution

The third proportional to 204.25 and 438.88 is: 943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.25 : 438.88 = 438.88 : x
  2. Step 2: Convert to fraction form
    204.25/438.88 = 438.88/x
  3. Step 3: Cross multiply
    204.25x = 438.88 × 438.88
  4. Step 4: Simplify right side
    204.25x = 192,611.27
  5. Step 5: Solve for x
    x = 192,611.27/204.25
  6. Step 6: Final answer
    x = 943.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.