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Finding the Third Proportional to 150,406.88 and 225,640.69

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Solution

The third proportional to 150,406.88 and 225,640.69 is: 338,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,406.88 : 225,640.69 = 225,640.69 : x
  2. Step 2: Convert to fraction form
    150,406.88/225,640.69 = 225,640.69/x
  3. Step 3: Cross multiply
    150,406.88x = 225,640.69 × 225,640.69
  4. Step 4: Simplify right side
    150,406.88x = 50,913,719,855.47
  5. Step 5: Solve for x
    x = 50,913,719,855.47/150,406.88
  6. Step 6: Final answer
    x = 338,506.60

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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.