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Finding the Third Proportional to 150,867.56 and 323,640.56

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Solution

The third proportional to 150,867.56 and 323,640.56 is: 694,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,867.56 : 323,640.56 = 323,640.56 : x
  2. Step 2: Convert to fraction form
    150,867.56/323,640.56 = 323,640.56/x
  3. Step 3: Cross multiply
    150,867.56x = 323,640.56 × 323,640.56
  4. Step 4: Simplify right side
    150,867.56x = 104,743,213,695.32
  5. Step 5: Solve for x
    x = 104,743,213,695.32/150,867.56
  6. Step 6: Final answer
    x = 694,272.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.