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Finding the Third Proportional to 131,728 and 204,350

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Solution

The third proportional to 131,728 and 204,350 is: 317,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,728 : 204,350 = 204,350 : x
  2. Step 2: Convert to fraction form
    131,728/204,350 = 204,350/x
  3. Step 3: Cross multiply
    131,728x = 204,350 × 204,350
  4. Step 4: Simplify right side
    131,728x = 41,758,922,500
  5. Step 5: Solve for x
    x = 41,758,922,500/131,728
  6. Step 6: Final answer
    x = 317,008.70

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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.