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Finding the Third Proportional to 199,720 and 280,919.50

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Solution

The third proportional to 199,720 and 280,919.50 is: 395,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,720 : 280,919.50 = 280,919.50 : x
  2. Step 2: Convert to fraction form
    199,720/280,919.50 = 280,919.50/x
  3. Step 3: Cross multiply
    199,720x = 280,919.50 × 280,919.50
  4. Step 4: Simplify right side
    199,720x = 78,915,765,480.25
  5. Step 5: Solve for x
    x = 78,915,765,480.25/199,720
  6. Step 6: Final answer
    x = 395,132.01

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