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Finding the Third Proportional to 184,221.75 and 275,190.75

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Solution

The third proportional to 184,221.75 and 275,190.75 is: 411,080.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,221.75 : 275,190.75 = 275,190.75 : x
  2. Step 2: Convert to fraction form
    184,221.75/275,190.75 = 275,190.75/x
  3. Step 3: Cross multiply
    184,221.75x = 275,190.75 × 275,190.75
  4. Step 4: Simplify right side
    184,221.75x = 75,729,948,885.56
  5. Step 5: Solve for x
    x = 75,729,948,885.56/184,221.75
  6. Step 6: Final answer
    x = 411,080.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.