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Finding the Third Proportional to 131,327 and 203,741

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Solution

The third proportional to 131,327 and 203,741 is: 316,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,327 : 203,741 = 203,741 : x
  2. Step 2: Convert to fraction form
    131,327/203,741 = 203,741/x
  3. Step 3: Cross multiply
    131,327x = 203,741 × 203,741
  4. Step 4: Simplify right side
    131,327x = 41,510,395,081
  5. Step 5: Solve for x
    x = 41,510,395,081/131,327
  6. Step 6: Final answer
    x = 316,084.24

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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.