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Finding the Third Proportional to 156,200 and 336,694

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Solution

The third proportional to 156,200 and 336,694 is: 725,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,200 : 336,694 = 336,694 : x
  2. Step 2: Convert to fraction form
    156,200/336,694 = 336,694/x
  3. Step 3: Cross multiply
    156,200x = 336,694 × 336,694
  4. Step 4: Simplify right side
    156,200x = 113,362,849,636
  5. Step 5: Solve for x
    x = 113,362,849,636/156,200
  6. Step 6: Final answer
    x = 725,754.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.