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Finding the Third Proportional to 191,614 and 395,529

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Solution

The third proportional to 191,614 and 395,529 is: 816,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,614 : 395,529 = 395,529 : x
  2. Step 2: Convert to fraction form
    191,614/395,529 = 395,529/x
  3. Step 3: Cross multiply
    191,614x = 395,529 × 395,529
  4. Step 4: Simplify right side
    191,614x = 156,443,189,841
  5. Step 5: Solve for x
    x = 156,443,189,841/191,614
  6. Step 6: Final answer
    x = 816,449.68

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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.