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Finding the Third Proportional to 203,728 and 305,976

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Solution

The third proportional to 203,728 and 305,976 is: 459,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,728 : 305,976 = 305,976 : x
  2. Step 2: Convert to fraction form
    203,728/305,976 = 305,976/x
  3. Step 3: Cross multiply
    203,728x = 305,976 × 305,976
  4. Step 4: Simplify right side
    203,728x = 93,621,312,576
  5. Step 5: Solve for x
    x = 93,621,312,576/203,728
  6. Step 6: Final answer
    x = 459,540.72

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