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Finding the Third Proportional to 156,723 and 220,219

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Solution

The third proportional to 156,723 and 220,219 is: 309,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,723 : 220,219 = 220,219 : x
  2. Step 2: Convert to fraction form
    156,723/220,219 = 220,219/x
  3. Step 3: Cross multiply
    156,723x = 220,219 × 220,219
  4. Step 4: Simplify right side
    156,723x = 48,496,407,961
  5. Step 5: Solve for x
    x = 48,496,407,961/156,723
  6. Step 6: Final answer
    x = 309,440.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.