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Finding the Third Proportional to 194,781 and 419,154

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Solution

The third proportional to 194,781 and 419,154 is: 901,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,781 : 419,154 = 419,154 : x
  2. Step 2: Convert to fraction form
    194,781/419,154 = 419,154/x
  3. Step 3: Cross multiply
    194,781x = 419,154 × 419,154
  4. Step 4: Simplify right side
    194,781x = 175,690,075,716
  5. Step 5: Solve for x
    x = 175,690,075,716/194,781
  6. Step 6: Final answer
    x = 901,987.75

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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.