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Finding the Third Proportional to 154,149 and 336,311

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Solution

The third proportional to 154,149 and 336,311 is: 733,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,149 : 336,311 = 336,311 : x
  2. Step 2: Convert to fraction form
    154,149/336,311 = 336,311/x
  3. Step 3: Cross multiply
    154,149x = 336,311 × 336,311
  4. Step 4: Simplify right side
    154,149x = 113,105,088,721
  5. Step 5: Solve for x
    x = 113,105,088,721/154,149
  6. Step 6: Final answer
    x = 733,738.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.