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Finding the Third Proportional to 156,319 and 318,163

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Solution

The third proportional to 156,319 and 318,163 is: 647,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,319 : 318,163 = 318,163 : x
  2. Step 2: Convert to fraction form
    156,319/318,163 = 318,163/x
  3. Step 3: Cross multiply
    156,319x = 318,163 × 318,163
  4. Step 4: Simplify right side
    156,319x = 101,227,694,569
  5. Step 5: Solve for x
    x = 101,227,694,569/156,319
  6. Step 6: Final answer
    x = 647,571.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.