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Finding the Third Proportional to 122,166 and 268,848

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Solution

The third proportional to 122,166 and 268,848 is: 591,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,166 : 268,848 = 268,848 : x
  2. Step 2: Convert to fraction form
    122,166/268,848 = 268,848/x
  3. Step 3: Cross multiply
    122,166x = 268,848 × 268,848
  4. Step 4: Simplify right side
    122,166x = 72,279,247,104
  5. Step 5: Solve for x
    x = 72,279,247,104/122,166
  6. Step 6: Final answer
    x = 591,647.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.