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Finding the Third Proportional to 194,996.53 and 419,096.53

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Solution

The third proportional to 194,996.53 and 419,096.53 is: 900,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,996.53 : 419,096.53 = 419,096.53 : x
  2. Step 2: Convert to fraction form
    194,996.53/419,096.53 = 419,096.53/x
  3. Step 3: Cross multiply
    194,996.53x = 419,096.53 × 419,096.53
  4. Step 4: Simplify right side
    194,996.53x = 175,641,902,505.78
  5. Step 5: Solve for x
    x = 175,641,902,505.78/194,996.53
  6. Step 6: Final answer
    x = 900,743.73

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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.