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Finding the Third Proportional to 150,843.50 and 223,656.50

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Solution

The third proportional to 150,843.50 and 223,656.50 is: 331,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843.50 : 223,656.50 = 223,656.50 : x
  2. Step 2: Convert to fraction form
    150,843.50/223,656.50 = 223,656.50/x
  3. Step 3: Cross multiply
    150,843.50x = 223,656.50 × 223,656.50
  4. Step 4: Simplify right side
    150,843.50x = 50,022,229,992.25
  5. Step 5: Solve for x
    x = 50,022,229,992.25/150,843.50
  6. Step 6: Final answer
    x = 331,616.74

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