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Finding the Third Proportional to 131,828 and 311,062

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Solution

The third proportional to 131,828 and 311,062 is: 733,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,828 : 311,062 = 311,062 : x
  2. Step 2: Convert to fraction form
    131,828/311,062 = 311,062/x
  3. Step 3: Cross multiply
    131,828x = 311,062 × 311,062
  4. Step 4: Simplify right side
    131,828x = 96,759,567,844
  5. Step 5: Solve for x
    x = 96,759,567,844/131,828
  6. Step 6: Final answer
    x = 733,983.43

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