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Finding the Third Proportional to 166,077 and 356,349

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Solution

The third proportional to 166,077 and 356,349 is: 764,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,077 : 356,349 = 356,349 : x
  2. Step 2: Convert to fraction form
    166,077/356,349 = 356,349/x
  3. Step 3: Cross multiply
    166,077x = 356,349 × 356,349
  4. Step 4: Simplify right side
    166,077x = 126,984,609,801
  5. Step 5: Solve for x
    x = 126,984,609,801/166,077
  6. Step 6: Final answer
    x = 764,612.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.