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Finding the Third Proportional to 150,844.50 and 331,821

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Solution

The third proportional to 150,844.50 and 331,821 is: 729,925.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,844.50 : 331,821 = 331,821 : x
  2. Step 2: Convert to fraction form
    150,844.50/331,821 = 331,821/x
  3. Step 3: Cross multiply
    150,844.50x = 331,821 × 331,821
  4. Step 4: Simplify right side
    150,844.50x = 110,105,176,041
  5. Step 5: Solve for x
    x = 110,105,176,041/150,844.50
  6. Step 6: Final answer
    x = 729,925.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.