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Finding the Third Proportional to 150,847.69 and 330,498.56

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Solution

The third proportional to 150,847.69 and 330,498.56 is: 724,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,847.69 : 330,498.56 = 330,498.56 : x
  2. Step 2: Convert to fraction form
    150,847.69/330,498.56 = 330,498.56/x
  3. Step 3: Cross multiply
    150,847.69x = 330,498.56 × 330,498.56
  4. Step 4: Simplify right side
    150,847.69x = 109,229,299,814.57
  5. Step 5: Solve for x
    x = 109,229,299,814.57/150,847.69
  6. Step 6: Final answer
    x = 724,103.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.