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Finding the Third Proportional to 140,400 and 300,096

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Solution

The third proportional to 140,400 and 300,096 is: 641,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,400 : 300,096 = 300,096 : x
  2. Step 2: Convert to fraction form
    140,400/300,096 = 300,096/x
  3. Step 3: Cross multiply
    140,400x = 300,096 × 300,096
  4. Step 4: Simplify right side
    140,400x = 90,057,609,216
  5. Step 5: Solve for x
    x = 90,057,609,216/140,400
  6. Step 6: Final answer
    x = 641,435.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.