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Finding the Third Proportional to 156,986 and 322,234

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Solution

The third proportional to 156,986 and 322,234 is: 661,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 322,234 = 322,234 : x
  2. Step 2: Convert to fraction form
    156,986/322,234 = 322,234/x
  3. Step 3: Cross multiply
    156,986x = 322,234 × 322,234
  4. Step 4: Simplify right side
    156,986x = 103,834,750,756
  5. Step 5: Solve for x
    x = 103,834,750,756/156,986
  6. Step 6: Final answer
    x = 661,426.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.