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Finding the Third Proportional to 150,661.50 and 227,936.25

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Solution

The third proportional to 150,661.50 and 227,936.25 is: 344,845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,661.50 : 227,936.25 = 227,936.25 : x
  2. Step 2: Convert to fraction form
    150,661.50/227,936.25 = 227,936.25/x
  3. Step 3: Cross multiply
    150,661.50x = 227,936.25 × 227,936.25
  4. Step 4: Simplify right side
    150,661.50x = 51,954,934,064.06
  5. Step 5: Solve for x
    x = 51,954,934,064.06/150,661.50
  6. Step 6: Final answer
    x = 344,845.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.