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Finding the Third Proportional to 140,512 and 300,698

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Solution

The third proportional to 140,512 and 300,698 is: 643,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,512 : 300,698 = 300,698 : x
  2. Step 2: Convert to fraction form
    140,512/300,698 = 300,698/x
  3. Step 3: Cross multiply
    140,512x = 300,698 × 300,698
  4. Step 4: Simplify right side
    140,512x = 90,419,287,204
  5. Step 5: Solve for x
    x = 90,419,287,204/140,512
  6. Step 6: Final answer
    x = 643,498.68

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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.