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Finding the Third Proportional to 194,908 and 419,894

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Solution

The third proportional to 194,908 and 419,894 is: 904,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,908 : 419,894 = 419,894 : x
  2. Step 2: Convert to fraction form
    194,908/419,894 = 419,894/x
  3. Step 3: Cross multiply
    194,908x = 419,894 × 419,894
  4. Step 4: Simplify right side
    194,908x = 176,310,971,236
  5. Step 5: Solve for x
    x = 176,310,971,236/194,908
  6. Step 6: Final answer
    x = 904,585.61

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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.