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Finding the Third Proportional to 184,019.50 and 394,271

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Solution

The third proportional to 184,019.50 and 394,271 is: 844,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,019.50 : 394,271 = 394,271 : x
  2. Step 2: Convert to fraction form
    184,019.50/394,271 = 394,271/x
  3. Step 3: Cross multiply
    184,019.50x = 394,271 × 394,271
  4. Step 4: Simplify right side
    184,019.50x = 155,449,621,441
  5. Step 5: Solve for x
    x = 155,449,621,441/184,019.50
  6. Step 6: Final answer
    x = 844,745.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.