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Finding the Third Proportional to 156,789 and 305,694

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Solution

The third proportional to 156,789 and 305,694 is: 596,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,789 : 305,694 = 305,694 : x
  2. Step 2: Convert to fraction form
    156,789/305,694 = 305,694/x
  3. Step 3: Cross multiply
    156,789x = 305,694 × 305,694
  4. Step 4: Simplify right side
    156,789x = 93,448,821,636
  5. Step 5: Solve for x
    x = 93,448,821,636/156,789
  6. Step 6: Final answer
    x = 596,016.44

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.