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Finding the Third Proportional to 92,934 and 203,656

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Solution

The third proportional to 92,934 and 203,656 is: 446,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,934 : 203,656 = 203,656 : x
  2. Step 2: Convert to fraction form
    92,934/203,656 = 203,656/x
  3. Step 3: Cross multiply
    92,934x = 203,656 × 203,656
  4. Step 4: Simplify right side
    92,934x = 41,475,766,336
  5. Step 5: Solve for x
    x = 41,475,766,336/92,934
  6. Step 6: Final answer
    x = 446,292.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.