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Finding the Third Proportional to 156,751 and 242,794

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Solution

The third proportional to 156,751 and 242,794 is: 376,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,751 : 242,794 = 242,794 : x
  2. Step 2: Convert to fraction form
    156,751/242,794 = 242,794/x
  3. Step 3: Cross multiply
    156,751x = 242,794 × 242,794
  4. Step 4: Simplify right side
    156,751x = 58,948,926,436
  5. Step 5: Solve for x
    x = 58,948,926,436/156,751
  6. Step 6: Final answer
    x = 376,067.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.