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Finding the Third Proportional to 136,934 and 204,483

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Solution

The third proportional to 136,934 and 204,483 is: 305,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,934 : 204,483 = 204,483 : x
  2. Step 2: Convert to fraction form
    136,934/204,483 = 204,483/x
  3. Step 3: Cross multiply
    136,934x = 204,483 × 204,483
  4. Step 4: Simplify right side
    136,934x = 41,813,297,289
  5. Step 5: Solve for x
    x = 41,813,297,289/136,934
  6. Step 6: Final answer
    x = 305,353.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.