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Finding the Third Proportional to 194,767 and 419,119

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Solution

The third proportional to 194,767 and 419,119 is: 901,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,767 : 419,119 = 419,119 : x
  2. Step 2: Convert to fraction form
    194,767/419,119 = 419,119/x
  3. Step 3: Cross multiply
    194,767x = 419,119 × 419,119
  4. Step 4: Simplify right side
    194,767x = 175,660,736,161
  5. Step 5: Solve for x
    x = 175,660,736,161/194,767
  6. Step 6: Final answer
    x = 901,901.95

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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.