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Finding the Third Proportional to 180,848 and 394,088

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Solution

The third proportional to 180,848 and 394,088 is: 858,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,848 : 394,088 = 394,088 : x
  2. Step 2: Convert to fraction form
    180,848/394,088 = 394,088/x
  3. Step 3: Cross multiply
    180,848x = 394,088 × 394,088
  4. Step 4: Simplify right side
    180,848x = 155,305,351,744
  5. Step 5: Solve for x
    x = 155,305,351,744/180,848
  6. Step 6: Final answer
    x = 858,761.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.