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Finding the Third Proportional to 156,793 and 335,721

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Solution

The third proportional to 156,793 and 335,721 is: 718,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,793 : 335,721 = 335,721 : x
  2. Step 2: Convert to fraction form
    156,793/335,721 = 335,721/x
  3. Step 3: Cross multiply
    156,793x = 335,721 × 335,721
  4. Step 4: Simplify right side
    156,793x = 112,708,589,841
  5. Step 5: Solve for x
    x = 112,708,589,841/156,793
  6. Step 6: Final answer
    x = 718,836.87

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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.