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Finding the Third Proportional to 150,901.88 and 226,371.38

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Solution

The third proportional to 150,901.88 and 226,371.38 is: 339,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,901.88 : 226,371.38 = 226,371.38 : x
  2. Step 2: Convert to fraction form
    150,901.88/226,371.38 = 226,371.38/x
  3. Step 3: Cross multiply
    150,901.88x = 226,371.38 × 226,371.38
  4. Step 4: Simplify right side
    150,901.88x = 51,243,999,419.39
  5. Step 5: Solve for x
    x = 51,243,999,419.39/150,901.88
  6. Step 6: Final answer
    x = 339,584.91

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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.