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Finding the Third Proportional to 192,068 and 254,868

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Solution

The third proportional to 192,068 and 254,868 is: 338,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,068 : 254,868 = 254,868 : x
  2. Step 2: Convert to fraction form
    192,068/254,868 = 254,868/x
  3. Step 3: Cross multiply
    192,068x = 254,868 × 254,868
  4. Step 4: Simplify right side
    192,068x = 64,957,697,424
  5. Step 5: Solve for x
    x = 64,957,697,424/192,068
  6. Step 6: Final answer
    x = 338,201.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.