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Finding the Third Proportional to 76,684 and 156,497

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Solution

The third proportional to 76,684 and 156,497 is: 319,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684 : 156,497 = 156,497 : x
  2. Step 2: Convert to fraction form
    76,684/156,497 = 156,497/x
  3. Step 3: Cross multiply
    76,684x = 156,497 × 156,497
  4. Step 4: Simplify right side
    76,684x = 24,491,311,009
  5. Step 5: Solve for x
    x = 24,491,311,009/76,684
  6. Step 6: Final answer
    x = 319,379.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.