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Finding the Third Proportional to 150,364.50 and 324,234.75

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Solution

The third proportional to 150,364.50 and 324,234.75 is: 699,155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,364.50 : 324,234.75 = 324,234.75 : x
  2. Step 2: Convert to fraction form
    150,364.50/324,234.75 = 324,234.75/x
  3. Step 3: Cross multiply
    150,364.50x = 324,234.75 × 324,234.75
  4. Step 4: Simplify right side
    150,364.50x = 105,128,173,107.56
  5. Step 5: Solve for x
    x = 105,128,173,107.56/150,364.50
  6. Step 6: Final answer
    x = 699,155.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.