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Finding the Third Proportional to 103,897 and 227,234

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Solution

The third proportional to 103,897 and 227,234 is: 496,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,897 : 227,234 = 227,234 : x
  2. Step 2: Convert to fraction form
    103,897/227,234 = 227,234/x
  3. Step 3: Cross multiply
    103,897x = 227,234 × 227,234
  4. Step 4: Simplify right side
    103,897x = 51,635,290,756
  5. Step 5: Solve for x
    x = 51,635,290,756/103,897
  6. Step 6: Final answer
    x = 496,985.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.