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Finding the Third Proportional to 140,832 and 313,151

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Solution

The third proportional to 140,832 and 313,151 is: 696,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,832 : 313,151 = 313,151 : x
  2. Step 2: Convert to fraction form
    140,832/313,151 = 313,151/x
  3. Step 3: Cross multiply
    140,832x = 313,151 × 313,151
  4. Step 4: Simplify right side
    140,832x = 98,063,548,801
  5. Step 5: Solve for x
    x = 98,063,548,801/140,832
  6. Step 6: Final answer
    x = 696,315.81

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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.