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Finding the Third Proportional to 156,727 and 220,224

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Solution

The third proportional to 156,727 and 220,224 is: 309,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,727 : 220,224 = 220,224 : x
  2. Step 2: Convert to fraction form
    156,727/220,224 = 220,224/x
  3. Step 3: Cross multiply
    156,727x = 220,224 × 220,224
  4. Step 4: Simplify right side
    156,727x = 48,498,610,176
  5. Step 5: Solve for x
    x = 48,498,610,176/156,727
  6. Step 6: Final answer
    x = 309,446.43

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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.