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Finding the Third Proportional to 150,033.50 and 327,027

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Solution

The third proportional to 150,033.50 and 327,027 is: 712,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,033.50 : 327,027 = 327,027 : x
  2. Step 2: Convert to fraction form
    150,033.50/327,027 = 327,027/x
  3. Step 3: Cross multiply
    150,033.50x = 327,027 × 327,027
  4. Step 4: Simplify right side
    150,033.50x = 106,946,658,729
  5. Step 5: Solve for x
    x = 106,946,658,729/150,033.50
  6. Step 6: Final answer
    x = 712,818.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.