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Finding the Third Proportional to 150,409.41 and 225,646.38

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Solution

The third proportional to 150,409.41 and 225,646.38 is: 338,517.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409.41 : 225,646.38 = 225,646.38 : x
  2. Step 2: Convert to fraction form
    150,409.41/225,646.38 = 225,646.38/x
  3. Step 3: Cross multiply
    150,409.41x = 225,646.38 × 225,646.38
  4. Step 4: Simplify right side
    150,409.41x = 50,916,290,076.37
  5. Step 5: Solve for x
    x = 50,916,290,076.37/150,409.41
  6. Step 6: Final answer
    x = 338,517.99

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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.