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Finding the Third Proportional to 140,246 and 301,876

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Solution

The third proportional to 140,246 and 301,876 is: 649,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,246 : 301,876 = 301,876 : x
  2. Step 2: Convert to fraction form
    140,246/301,876 = 301,876/x
  3. Step 3: Cross multiply
    140,246x = 301,876 × 301,876
  4. Step 4: Simplify right side
    140,246x = 91,129,119,376
  5. Step 5: Solve for x
    x = 91,129,119,376/140,246
  6. Step 6: Final answer
    x = 649,780.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.