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Finding the Third Proportional to 168,183.50 and 252,984

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Solution

The third proportional to 168,183.50 and 252,984 is: 380,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,183.50 : 252,984 = 252,984 : x
  2. Step 2: Convert to fraction form
    168,183.50/252,984 = 252,984/x
  3. Step 3: Cross multiply
    168,183.50x = 252,984 × 252,984
  4. Step 4: Simplify right side
    168,183.50x = 64,000,904,256
  5. Step 5: Solve for x
    x = 64,000,904,256/168,183.50
  6. Step 6: Final answer
    x = 380,542.11

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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.