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Finding the Third Proportional to 150,843.94 and 223,656.75

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Solution

The third proportional to 150,843.94 and 223,656.75 is: 331,616.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843.94 : 223,656.75 = 223,656.75 : x
  2. Step 2: Convert to fraction form
    150,843.94/223,656.75 = 223,656.75/x
  3. Step 3: Cross multiply
    150,843.94x = 223,656.75 × 223,656.75
  4. Step 4: Simplify right side
    150,843.94x = 50,022,341,820.56
  5. Step 5: Solve for x
    x = 50,022,341,820.56/150,843.94
  6. Step 6: Final answer
    x = 331,616.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.