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Finding the Third Proportional to 140,098 and 299,876

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Solution

The third proportional to 140,098 and 299,876 is: 641,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,098 : 299,876 = 299,876 : x
  2. Step 2: Convert to fraction form
    140,098/299,876 = 299,876/x
  3. Step 3: Cross multiply
    140,098x = 299,876 × 299,876
  4. Step 4: Simplify right side
    140,098x = 89,925,615,376
  5. Step 5: Solve for x
    x = 89,925,615,376/140,098
  6. Step 6: Final answer
    x = 641,876.51

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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.