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Finding the Third Proportional to 131,192 and 200,589

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Solution

The third proportional to 131,192 and 200,589 is: 306,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,192 : 200,589 = 200,589 : x
  2. Step 2: Convert to fraction form
    131,192/200,589 = 200,589/x
  3. Step 3: Cross multiply
    131,192x = 200,589 × 200,589
  4. Step 4: Simplify right side
    131,192x = 40,235,946,921
  5. Step 5: Solve for x
    x = 40,235,946,921/131,192
  6. Step 6: Final answer
    x = 306,695.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.