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Finding the Third Proportional to 168,600 and 225,516

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Solution

The third proportional to 168,600 and 225,516 is: 301,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,600 : 225,516 = 225,516 : x
  2. Step 2: Convert to fraction form
    168,600/225,516 = 225,516/x
  3. Step 3: Cross multiply
    168,600x = 225,516 × 225,516
  4. Step 4: Simplify right side
    168,600x = 50,857,466,256
  5. Step 5: Solve for x
    x = 50,857,466,256/168,600
  6. Step 6: Final answer
    x = 301,645.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.