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Finding the Third Proportional to 223,839 and 367,110

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Solution

The third proportional to 223,839 and 367,110 is: 602,083.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,839 : 367,110 = 367,110 : x
  2. Step 2: Convert to fraction form
    223,839/367,110 = 367,110/x
  3. Step 3: Cross multiply
    223,839x = 367,110 × 367,110
  4. Step 4: Simplify right side
    223,839x = 134,769,752,100
  5. Step 5: Solve for x
    x = 134,769,752,100/223,839
  6. Step 6: Final answer
    x = 602,083.43

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.