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Finding the Third Proportional to 192,635.25 and 255,606.38

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Solution

The third proportional to 192,635.25 and 255,606.38 is: 339,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,635.25 : 255,606.38 = 255,606.38 : x
  2. Step 2: Convert to fraction form
    192,635.25/255,606.38 = 255,606.38/x
  3. Step 3: Cross multiply
    192,635.25x = 255,606.38 × 255,606.38
  4. Step 4: Simplify right side
    192,635.25x = 65,334,618,940.64
  5. Step 5: Solve for x
    x = 65,334,618,940.64/192,635.25
  6. Step 6: Final answer
    x = 339,162.32

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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.