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Finding the Third Proportional to 103,714 and 226,199

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Solution

The third proportional to 103,714 and 226,199 is: 493,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,714 : 226,199 = 226,199 : x
  2. Step 2: Convert to fraction form
    103,714/226,199 = 226,199/x
  3. Step 3: Cross multiply
    103,714x = 226,199 × 226,199
  4. Step 4: Simplify right side
    103,714x = 51,165,987,601
  5. Step 5: Solve for x
    x = 51,165,987,601/103,714
  6. Step 6: Final answer
    x = 493,337.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.