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Finding the Third Proportional to 131,910 and 311,079

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Solution

The third proportional to 131,910 and 311,079 is: 733,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,910 : 311,079 = 311,079 : x
  2. Step 2: Convert to fraction form
    131,910/311,079 = 311,079/x
  3. Step 3: Cross multiply
    131,910x = 311,079 × 311,079
  4. Step 4: Simplify right side
    131,910x = 96,770,144,241
  5. Step 5: Solve for x
    x = 96,770,144,241/131,910
  6. Step 6: Final answer
    x = 733,607.34

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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.