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Finding the Third Proportional to 191,634 and 395,562

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Solution

The third proportional to 191,634 and 395,562 is: 816,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,634 : 395,562 = 395,562 : x
  2. Step 2: Convert to fraction form
    191,634/395,562 = 395,562/x
  3. Step 3: Cross multiply
    191,634x = 395,562 × 395,562
  4. Step 4: Simplify right side
    191,634x = 156,469,295,844
  5. Step 5: Solve for x
    x = 156,469,295,844/191,634
  6. Step 6: Final answer
    x = 816,500.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.