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Finding the Third Proportional to 168,157 and 280,260

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Solution

The third proportional to 168,157 and 280,260 is: 467,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,157 : 280,260 = 280,260 : x
  2. Step 2: Convert to fraction form
    168,157/280,260 = 280,260/x
  3. Step 3: Cross multiply
    168,157x = 280,260 × 280,260
  4. Step 4: Simplify right side
    168,157x = 78,545,667,600
  5. Step 5: Solve for x
    x = 78,545,667,600/168,157
  6. Step 6: Final answer
    x = 467,097.22

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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.