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Finding the Third Proportional to 150,252 and 225,954

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Solution

The third proportional to 150,252 and 225,954 is: 339,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,252 : 225,954 = 225,954 : x
  2. Step 2: Convert to fraction form
    150,252/225,954 = 225,954/x
  3. Step 3: Cross multiply
    150,252x = 225,954 × 225,954
  4. Step 4: Simplify right side
    150,252x = 51,055,210,116
  5. Step 5: Solve for x
    x = 51,055,210,116/150,252
  6. Step 6: Final answer
    x = 339,797.21

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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.