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Finding the Third Proportional to 131,305 and 200,238

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Solution

The third proportional to 131,305 and 200,238 is: 305,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,305 : 200,238 = 200,238 : x
  2. Step 2: Convert to fraction form
    131,305/200,238 = 200,238/x
  3. Step 3: Cross multiply
    131,305x = 200,238 × 200,238
  4. Step 4: Simplify right side
    131,305x = 40,095,256,644
  5. Step 5: Solve for x
    x = 40,095,256,644/131,305
  6. Step 6: Final answer
    x = 305,359.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.