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Finding the Third Proportional to 194,557 and 419,134

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Solution

The third proportional to 194,557 and 419,134 is: 902,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,557 : 419,134 = 419,134 : x
  2. Step 2: Convert to fraction form
    194,557/419,134 = 419,134/x
  3. Step 3: Cross multiply
    194,557x = 419,134 × 419,134
  4. Step 4: Simplify right side
    194,557x = 175,673,309,956
  5. Step 5: Solve for x
    x = 175,673,309,956/194,557
  6. Step 6: Final answer
    x = 902,940.06

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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.