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Finding the Third Proportional to 150,042 and 354,183

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Solution

The third proportional to 150,042 and 354,183 is: 836,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,042 : 354,183 = 354,183 : x
  2. Step 2: Convert to fraction form
    150,042/354,183 = 354,183/x
  3. Step 3: Cross multiply
    150,042x = 354,183 × 354,183
  4. Step 4: Simplify right side
    150,042x = 125,445,597,489
  5. Step 5: Solve for x
    x = 125,445,597,489/150,042
  6. Step 6: Final answer
    x = 836,069.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.