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Finding the Third Proportional to 164,781 and 223,839

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Solution

The third proportional to 164,781 and 223,839 is: 304,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,781 : 223,839 = 223,839 : x
  2. Step 2: Convert to fraction form
    164,781/223,839 = 223,839/x
  3. Step 3: Cross multiply
    164,781x = 223,839 × 223,839
  4. Step 4: Simplify right side
    164,781x = 50,103,897,921
  5. Step 5: Solve for x
    x = 50,103,897,921/164,781
  6. Step 6: Final answer
    x = 304,063.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.