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Finding the Third Proportional to 200,400.75 and 408,192.75

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Solution

The third proportional to 200,400.75 and 408,192.75 is: 831,440.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,400.75 : 408,192.75 = 408,192.75 : x
  2. Step 2: Convert to fraction form
    200,400.75/408,192.75 = 408,192.75/x
  3. Step 3: Cross multiply
    200,400.75x = 408,192.75 × 408,192.75
  4. Step 4: Simplify right side
    200,400.75x = 166,621,321,152.56
  5. Step 5: Solve for x
    x = 166,621,321,152.56/200,400.75
  6. Step 6: Final answer
    x = 831,440.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.