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Finding the Third Proportional to 140,976 and 295,790

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Solution

The third proportional to 140,976 and 295,790 is: 620,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,976 : 295,790 = 295,790 : x
  2. Step 2: Convert to fraction form
    140,976/295,790 = 295,790/x
  3. Step 3: Cross multiply
    140,976x = 295,790 × 295,790
  4. Step 4: Simplify right side
    140,976x = 87,491,724,100
  5. Step 5: Solve for x
    x = 87,491,724,100/140,976
  6. Step 6: Final answer
    x = 620,614.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.