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Finding the Third Proportional to 198,783 and 295,474.50

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Solution

The third proportional to 198,783 and 295,474.50 is: 439,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,783 : 295,474.50 = 295,474.50 : x
  2. Step 2: Convert to fraction form
    198,783/295,474.50 = 295,474.50/x
  3. Step 3: Cross multiply
    198,783x = 295,474.50 × 295,474.50
  4. Step 4: Simplify right side
    198,783x = 87,305,180,150.25
  5. Step 5: Solve for x
    x = 87,305,180,150.25/198,783
  6. Step 6: Final answer
    x = 439,198.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.