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Finding the Third Proportional to 168,189 and 280,305

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Solution

The third proportional to 168,189 and 280,305 is: 467,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,189 : 280,305 = 280,305 : x
  2. Step 2: Convert to fraction form
    168,189/280,305 = 280,305/x
  3. Step 3: Cross multiply
    168,189x = 280,305 × 280,305
  4. Step 4: Simplify right side
    168,189x = 78,570,893,025
  5. Step 5: Solve for x
    x = 78,570,893,025/168,189
  6. Step 6: Final answer
    x = 467,158.33

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Why These Related Problems?

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