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Finding the Third Proportional to 199,740.75 and 280,949.25

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Solution

The third proportional to 199,740.75 and 280,949.25 is: 395,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,740.75 : 280,949.25 = 280,949.25 : x
  2. Step 2: Convert to fraction form
    199,740.75/280,949.25 = 280,949.25/x
  3. Step 3: Cross multiply
    199,740.75x = 280,949.25 × 280,949.25
  4. Step 4: Simplify right side
    199,740.75x = 78,932,481,075.56
  5. Step 5: Solve for x
    x = 78,932,481,075.56/199,740.75
  6. Step 6: Final answer
    x = 395,174.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.