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Finding the Third Proportional to 94,267 and 203,293

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Solution

The third proportional to 94,267 and 203,293 is: 438,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,267 : 203,293 = 203,293 : x
  2. Step 2: Convert to fraction form
    94,267/203,293 = 203,293/x
  3. Step 3: Cross multiply
    94,267x = 203,293 × 203,293
  4. Step 4: Simplify right side
    94,267x = 41,328,043,849
  5. Step 5: Solve for x
    x = 41,328,043,849/94,267
  6. Step 6: Final answer
    x = 438,414.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.