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Finding the Third Proportional to 194,907.56 and 419,893.13

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Solution

The third proportional to 194,907.56 and 419,893.13 is: 904,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,907.56 : 419,893.13 = 419,893.13 : x
  2. Step 2: Convert to fraction form
    194,907.56/419,893.13 = 419,893.13/x
  3. Step 3: Cross multiply
    194,907.56x = 419,893.13 × 419,893.13
  4. Step 4: Simplify right side
    194,907.56x = 176,310,236,422.27
  5. Step 5: Solve for x
    x = 176,310,236,422.27/194,907.56
  6. Step 6: Final answer
    x = 904,583.87

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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.