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Finding the Third Proportional to 150,039 and 226,665

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Solution

The third proportional to 150,039 and 226,665 is: 342,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,039 : 226,665 = 226,665 : x
  2. Step 2: Convert to fraction form
    150,039/226,665 = 226,665/x
  3. Step 3: Cross multiply
    150,039x = 226,665 × 226,665
  4. Step 4: Simplify right side
    150,039x = 51,377,022,225
  5. Step 5: Solve for x
    x = 51,377,022,225/150,039
  6. Step 6: Final answer
    x = 342,424.45

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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.