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Finding the Third Proportional to 92,305 and 201,694

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Solution

The third proportional to 92,305 and 201,694 is: 440,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,305 : 201,694 = 201,694 : x
  2. Step 2: Convert to fraction form
    92,305/201,694 = 201,694/x
  3. Step 3: Cross multiply
    92,305x = 201,694 × 201,694
  4. Step 4: Simplify right side
    92,305x = 40,680,469,636
  5. Step 5: Solve for x
    x = 40,680,469,636/92,305
  6. Step 6: Final answer
    x = 440,717.94

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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.