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Finding the Third Proportional to 188,613.56 and 440,186.91

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Solution

The third proportional to 188,613.56 and 440,186.91 is: 1,027,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,613.56 : 440,186.91 = 440,186.91 : x
  2. Step 2: Convert to fraction form
    188,613.56/440,186.91 = 440,186.91/x
  3. Step 3: Cross multiply
    188,613.56x = 440,186.91 × 440,186.91
  4. Step 4: Simplify right side
    188,613.56x = 193,764,512,433.95
  5. Step 5: Solve for x
    x = 193,764,512,433.95/188,613.56
  6. Step 6: Final answer
    x = 1,027,309.54

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.