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Finding the Third Proportional to 92,344 and 215,794

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Solution

The third proportional to 92,344 and 215,794 is: 504,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,344 : 215,794 = 215,794 : x
  2. Step 2: Convert to fraction form
    92,344/215,794 = 215,794/x
  3. Step 3: Cross multiply
    92,344x = 215,794 × 215,794
  4. Step 4: Simplify right side
    92,344x = 46,567,050,436
  5. Step 5: Solve for x
    x = 46,567,050,436/92,344
  6. Step 6: Final answer
    x = 504,278.03

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.