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Finding the Third Proportional to 184,809.09 and 269,947.05

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Solution

The third proportional to 184,809.09 and 269,947.05 is: 394,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,809.09 : 269,947.05 = 269,947.05 : x
  2. Step 2: Convert to fraction form
    184,809.09/269,947.05 = 269,947.05/x
  3. Step 3: Cross multiply
    184,809.09x = 269,947.05 × 269,947.05
  4. Step 4: Simplify right side
    184,809.09x = 72,871,412,334.46
  5. Step 5: Solve for x
    x = 72,871,412,334.46/184,809.09
  6. Step 6: Final answer
    x = 394,306.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.