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Finding the Third Proportional to 131,822 and 311,052

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Solution

The third proportional to 131,822 and 311,052 is: 733,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,822 : 311,052 = 311,052 : x
  2. Step 2: Convert to fraction form
    131,822/311,052 = 311,052/x
  3. Step 3: Cross multiply
    131,822x = 311,052 × 311,052
  4. Step 4: Simplify right side
    131,822x = 96,753,346,704
  5. Step 5: Solve for x
    x = 96,753,346,704/131,822
  6. Step 6: Final answer
    x = 733,969.65

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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.