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Finding the Third Proportional to 194,907.75 and 419,893.50

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Solution

The third proportional to 194,907.75 and 419,893.50 is: 904,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,907.75 : 419,893.50 = 419,893.50 : x
  2. Step 2: Convert to fraction form
    194,907.75/419,893.50 = 419,893.50/x
  3. Step 3: Cross multiply
    194,907.75x = 419,893.50 × 419,893.50
  4. Step 4: Simplify right side
    194,907.75x = 176,310,551,342.25
  5. Step 5: Solve for x
    x = 176,310,551,342.25/194,907.75
  6. Step 6: Final answer
    x = 904,584.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.