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Finding the Third Proportional to 131,827 and 204,293

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Solution

The third proportional to 131,827 and 204,293 is: 316,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,827 : 204,293 = 204,293 : x
  2. Step 2: Convert to fraction form
    131,827/204,293 = 204,293/x
  3. Step 3: Cross multiply
    131,827x = 204,293 × 204,293
  4. Step 4: Simplify right side
    131,827x = 41,735,629,849
  5. Step 5: Solve for x
    x = 41,735,629,849/131,827
  6. Step 6: Final answer
    x = 316,593.94

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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.