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Finding the Third Proportional to 154,077 and 331,149

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Solution

The third proportional to 154,077 and 331,149 is: 711,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,077 : 331,149 = 331,149 : x
  2. Step 2: Convert to fraction form
    154,077/331,149 = 331,149/x
  3. Step 3: Cross multiply
    154,077x = 331,149 × 331,149
  4. Step 4: Simplify right side
    154,077x = 109,659,660,201
  5. Step 5: Solve for x
    x = 109,659,660,201/154,077
  6. Step 6: Final answer
    x = 711,719.86

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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.