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Finding the Third Proportional to 195,004.50 and 419,115

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Solution

The third proportional to 195,004.50 and 419,115 is: 900,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,004.50 : 419,115 = 419,115 : x
  2. Step 2: Convert to fraction form
    195,004.50/419,115 = 419,115/x
  3. Step 3: Cross multiply
    195,004.50x = 419,115 × 419,115
  4. Step 4: Simplify right side
    195,004.50x = 175,657,383,225
  5. Step 5: Solve for x
    x = 175,657,383,225/195,004.50
  6. Step 6: Final answer
    x = 900,786.31

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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.