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Finding the Third Proportional to 73,183.50 and 156,937.50

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Solution

The third proportional to 73,183.50 and 156,937.50 is: 336,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,183.50 : 156,937.50 = 156,937.50 : x
  2. Step 2: Convert to fraction form
    73,183.50/156,937.50 = 156,937.50/x
  3. Step 3: Cross multiply
    73,183.50x = 156,937.50 × 156,937.50
  4. Step 4: Simplify right side
    73,183.50x = 24,629,378,906.25
  5. Step 5: Solve for x
    x = 24,629,378,906.25/73,183.50
  6. Step 6: Final answer
    x = 336,542.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.