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Finding the Third Proportional to 140,867 and 313,231

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Solution

The third proportional to 140,867 and 313,231 is: 696,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,867 : 313,231 = 313,231 : x
  2. Step 2: Convert to fraction form
    140,867/313,231 = 313,231/x
  3. Step 3: Cross multiply
    140,867x = 313,231 × 313,231
  4. Step 4: Simplify right side
    140,867x = 98,113,659,361
  5. Step 5: Solve for x
    x = 98,113,659,361/140,867
  6. Step 6: Final answer
    x = 696,498.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.