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Finding the Third Proportional to 162,001.69 and 222,474.09

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Solution

The third proportional to 162,001.69 and 222,474.09 is: 305,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,001.69 : 222,474.09 = 222,474.09 : x
  2. Step 2: Convert to fraction form
    162,001.69/222,474.09 = 222,474.09/x
  3. Step 3: Cross multiply
    162,001.69x = 222,474.09 × 222,474.09
  4. Step 4: Simplify right side
    162,001.69x = 49,494,722,389.88
  5. Step 5: Solve for x
    x = 49,494,722,389.88/162,001.69
  6. Step 6: Final answer
    x = 305,519.80

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Why These Related Problems?

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