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Finding the Third Proportional to 194,910 and 419,897

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Solution

The third proportional to 194,910 and 419,897 is: 904,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,910 : 419,897 = 419,897 : x
  2. Step 2: Convert to fraction form
    194,910/419,897 = 419,897/x
  3. Step 3: Cross multiply
    194,910x = 419,897 × 419,897
  4. Step 4: Simplify right side
    194,910x = 176,313,490,609
  5. Step 5: Solve for x
    x = 176,313,490,609/194,910
  6. Step 6: Final answer
    x = 904,589.25

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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.