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Finding the Third Proportional to 150,844.78 and 223,657.03

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Solution

The third proportional to 150,844.78 and 223,657.03 is: 331,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,844.78 : 223,657.03 = 223,657.03 : x
  2. Step 2: Convert to fraction form
    150,844.78/223,657.03 = 223,657.03/x
  3. Step 3: Cross multiply
    150,844.78x = 223,657.03 × 223,657.03
  4. Step 4: Simplify right side
    150,844.78x = 50,022,467,627.56
  5. Step 5: Solve for x
    x = 50,022,467,627.56/150,844.78
  6. Step 6: Final answer
    x = 331,615.50

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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.