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Finding the Third Proportional to 156,526 and 209,694

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Solution

The third proportional to 156,526 and 209,694 is: 280,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,526 : 209,694 = 209,694 : x
  2. Step 2: Convert to fraction form
    156,526/209,694 = 209,694/x
  3. Step 3: Cross multiply
    156,526x = 209,694 × 209,694
  4. Step 4: Simplify right side
    156,526x = 43,971,573,636
  5. Step 5: Solve for x
    x = 43,971,573,636/156,526
  6. Step 6: Final answer
    x = 280,921.85

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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.