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Finding the Third Proportional to 150,884.50 and 330,785

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Solution

The third proportional to 150,884.50 and 330,785 is: 725,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,884.50 : 330,785 = 330,785 : x
  2. Step 2: Convert to fraction form
    150,884.50/330,785 = 330,785/x
  3. Step 3: Cross multiply
    150,884.50x = 330,785 × 330,785
  4. Step 4: Simplify right side
    150,884.50x = 109,418,716,225
  5. Step 5: Solve for x
    x = 109,418,716,225/150,884.50
  6. Step 6: Final answer
    x = 725,181.95

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Why These Related Problems?

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