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Finding the Third Proportional to 103,934 and 223,897

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Solution

The third proportional to 103,934 and 223,897 is: 482,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,934 : 223,897 = 223,897 : x
  2. Step 2: Convert to fraction form
    103,934/223,897 = 223,897/x
  3. Step 3: Cross multiply
    103,934x = 223,897 × 223,897
  4. Step 4: Simplify right side
    103,934x = 50,129,866,609
  5. Step 5: Solve for x
    x = 50,129,866,609/103,934
  6. Step 6: Final answer
    x = 482,324.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.