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Finding the Third Proportional to 131,238 and 203,599

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Solution

The third proportional to 131,238 and 203,599 is: 315,857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,238 : 203,599 = 203,599 : x
  2. Step 2: Convert to fraction form
    131,238/203,599 = 203,599/x
  3. Step 3: Cross multiply
    131,238x = 203,599 × 203,599
  4. Step 4: Simplify right side
    131,238x = 41,452,552,801
  5. Step 5: Solve for x
    x = 41,452,552,801/131,238
  6. Step 6: Final answer
    x = 315,857.85

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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.