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Finding the Third Proportional to 168,777 and 252,982

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Solution

The third proportional to 168,777 and 252,982 is: 379,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,777 : 252,982 = 252,982 : x
  2. Step 2: Convert to fraction form
    168,777/252,982 = 252,982/x
  3. Step 3: Cross multiply
    168,777x = 252,982 × 252,982
  4. Step 4: Simplify right side
    168,777x = 63,999,892,324
  5. Step 5: Solve for x
    x = 63,999,892,324/168,777
  6. Step 6: Final answer
    x = 379,197.95

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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.