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Finding the Third Proportional to 194,967 and 418,941

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Solution

The third proportional to 194,967 and 418,941 is: 900,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967 : 418,941 = 418,941 : x
  2. Step 2: Convert to fraction form
    194,967/418,941 = 418,941/x
  3. Step 3: Cross multiply
    194,967x = 418,941 × 418,941
  4. Step 4: Simplify right side
    194,967x = 175,511,561,481
  5. Step 5: Solve for x
    x = 175,511,561,481/194,967
  6. Step 6: Final answer
    x = 900,211.63

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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.