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Finding the Third Proportional to 140,389 and 300,874

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Solution

The third proportional to 140,389 and 300,874 is: 644,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,389 : 300,874 = 300,874 : x
  2. Step 2: Convert to fraction form
    140,389/300,874 = 300,874/x
  3. Step 3: Cross multiply
    140,389x = 300,874 × 300,874
  4. Step 4: Simplify right side
    140,389x = 90,525,163,876
  5. Step 5: Solve for x
    x = 90,525,163,876/140,389
  6. Step 6: Final answer
    x = 644,816.64

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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.