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Finding the Third Proportional to 140,096 and 299,874

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Solution

The third proportional to 140,096 and 299,874 is: 641,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,096 : 299,874 = 299,874 : x
  2. Step 2: Convert to fraction form
    140,096/299,874 = 299,874/x
  3. Step 3: Cross multiply
    140,096x = 299,874 × 299,874
  4. Step 4: Simplify right side
    140,096x = 89,924,415,876
  5. Step 5: Solve for x
    x = 89,924,415,876/140,096
  6. Step 6: Final answer
    x = 641,877.11

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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.