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Finding the Third Proportional to 162,008.86 and 222,481.69

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Solution

The third proportional to 162,008.86 and 222,481.69 is: 305,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,008.86 : 222,481.69 = 222,481.69 : x
  2. Step 2: Convert to fraction form
    162,008.86/222,481.69 = 222,481.69/x
  3. Step 3: Cross multiply
    162,008.86x = 222,481.69 × 222,481.69
  4. Step 4: Simplify right side
    162,008.86x = 49,498,101,272.85
  5. Step 5: Solve for x
    x = 49,498,101,272.85/162,008.86
  6. Step 6: Final answer
    x = 305,527.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.