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Finding the Third Proportional to 168,296 and 252,876

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Solution

The third proportional to 168,296 and 252,876 is: 379,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,296 : 252,876 = 252,876 : x
  2. Step 2: Convert to fraction form
    168,296/252,876 = 252,876/x
  3. Step 3: Cross multiply
    168,296x = 252,876 × 252,876
  4. Step 4: Simplify right side
    168,296x = 63,946,271,376
  5. Step 5: Solve for x
    x = 63,946,271,376/168,296
  6. Step 6: Final answer
    x = 379,963.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.