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Finding the Third Proportional to 202,115.25 and 280,300.50

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Solution

The third proportional to 202,115.25 and 280,300.50 is: 388,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,115.25 : 280,300.50 = 280,300.50 : x
  2. Step 2: Convert to fraction form
    202,115.25/280,300.50 = 280,300.50/x
  3. Step 3: Cross multiply
    202,115.25x = 280,300.50 × 280,300.50
  4. Step 4: Simplify right side
    202,115.25x = 78,568,370,300.25
  5. Step 5: Solve for x
    x = 78,568,370,300.25/202,115.25
  6. Step 6: Final answer
    x = 388,730.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.