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Finding the Third Proportional to 131,961 and 311,197

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Solution

The third proportional to 131,961 and 311,197 is: 733,880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,961 : 311,197 = 311,197 : x
  2. Step 2: Convert to fraction form
    131,961/311,197 = 311,197/x
  3. Step 3: Cross multiply
    131,961x = 311,197 × 311,197
  4. Step 4: Simplify right side
    131,961x = 96,843,572,809
  5. Step 5: Solve for x
    x = 96,843,572,809/131,961
  6. Step 6: Final answer
    x = 733,880.26

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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.