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Finding the Third Proportional to 140,096 and 311,296

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Solution

The third proportional to 140,096 and 311,296 is: 691,705.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,096 : 311,296 = 311,296 : x
  2. Step 2: Convert to fraction form
    140,096/311,296 = 311,296/x
  3. Step 3: Cross multiply
    140,096x = 311,296 × 311,296
  4. Step 4: Simplify right side
    140,096x = 96,905,199,616
  5. Step 5: Solve for x
    x = 96,905,199,616/140,096
  6. Step 6: Final answer
    x = 691,705.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.