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Finding the Third Proportional to 156,634 and 305,384

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Solution

The third proportional to 156,634 and 305,384 is: 595,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,634 : 305,384 = 305,384 : x
  2. Step 2: Convert to fraction form
    156,634/305,384 = 305,384/x
  3. Step 3: Cross multiply
    156,634x = 305,384 × 305,384
  4. Step 4: Simplify right side
    156,634x = 93,259,387,456
  5. Step 5: Solve for x
    x = 93,259,387,456/156,634
  6. Step 6: Final answer
    x = 595,396.83

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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.