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Finding the Third Proportional to 120,804 and 244,848

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Solution

The third proportional to 120,804 and 244,848 is: 496,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,804 : 244,848 = 244,848 : x
  2. Step 2: Convert to fraction form
    120,804/244,848 = 244,848/x
  3. Step 3: Cross multiply
    120,804x = 244,848 × 244,848
  4. Step 4: Simplify right side
    120,804x = 59,950,543,104
  5. Step 5: Solve for x
    x = 59,950,543,104/120,804
  6. Step 6: Final answer
    x = 496,262.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.