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Finding the Third Proportional to 156,558 and 209,723

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Solution

The third proportional to 156,558 and 209,723 is: 280,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,558 : 209,723 = 209,723 : x
  2. Step 2: Convert to fraction form
    156,558/209,723 = 209,723/x
  3. Step 3: Cross multiply
    156,558x = 209,723 × 209,723
  4. Step 4: Simplify right side
    156,558x = 43,983,736,729
  5. Step 5: Solve for x
    x = 43,983,736,729/156,558
  6. Step 6: Final answer
    x = 280,942.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.