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Finding the Third Proportional to 194,640.75 and 419,278.50

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Solution

The third proportional to 194,640.75 and 419,278.50 is: 903,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,640.75 : 419,278.50 = 419,278.50 : x
  2. Step 2: Convert to fraction form
    194,640.75/419,278.50 = 419,278.50/x
  3. Step 3: Cross multiply
    194,640.75x = 419,278.50 × 419,278.50
  4. Step 4: Simplify right side
    194,640.75x = 175,794,460,562.25
  5. Step 5: Solve for x
    x = 175,794,460,562.25/194,640.75
  6. Step 6: Final answer
    x = 903,173.98

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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.