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Finding the Third Proportional to 222,682 and 344,843

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Solution

The third proportional to 222,682 and 344,843 is: 534,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,682 : 344,843 = 344,843 : x
  2. Step 2: Convert to fraction form
    222,682/344,843 = 344,843/x
  3. Step 3: Cross multiply
    222,682x = 344,843 × 344,843
  4. Step 4: Simplify right side
    222,682x = 118,916,694,649
  5. Step 5: Solve for x
    x = 118,916,694,649/222,682
  6. Step 6: Final answer
    x = 534,020.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.