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Finding the Third Proportional to 168,186.38 and 280,300.50

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Solution

The third proportional to 168,186.38 and 280,300.50 is: 467,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,186.38 : 280,300.50 = 280,300.50 : x
  2. Step 2: Convert to fraction form
    168,186.38/280,300.50 = 280,300.50/x
  3. Step 3: Cross multiply
    168,186.38x = 280,300.50 × 280,300.50
  4. Step 4: Simplify right side
    168,186.38x = 78,568,370,300.25
  5. Step 5: Solve for x
    x = 78,568,370,300.25/168,186.38
  6. Step 6: Final answer
    x = 467,150.63

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.