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Finding the Third Proportional to 150,800.25 and 331,487.25

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Solution

The third proportional to 150,800.25 and 331,487.25 is: 728,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,800.25 : 331,487.25 = 331,487.25 : x
  2. Step 2: Convert to fraction form
    150,800.25/331,487.25 = 331,487.25/x
  3. Step 3: Cross multiply
    150,800.25x = 331,487.25 × 331,487.25
  4. Step 4: Simplify right side
    150,800.25x = 109,883,796,912.56
  5. Step 5: Solve for x
    x = 109,883,796,912.56/150,800.25
  6. Step 6: Final answer
    x = 728,671.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.