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Finding the Third Proportional to 131,912 and 311,084

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Solution

The third proportional to 131,912 and 311,084 is: 733,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,912 : 311,084 = 311,084 : x
  2. Step 2: Convert to fraction form
    131,912/311,084 = 311,084/x
  3. Step 3: Cross multiply
    131,912x = 311,084 × 311,084
  4. Step 4: Simplify right side
    131,912x = 96,773,255,056
  5. Step 5: Solve for x
    x = 96,773,255,056/131,912
  6. Step 6: Final answer
    x = 733,619.80

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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.