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Finding the Third Proportional to 192,569 and 255,578

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Solution

The third proportional to 192,569 and 255,578 is: 339,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,569 : 255,578 = 255,578 : x
  2. Step 2: Convert to fraction form
    192,569/255,578 = 255,578/x
  3. Step 3: Cross multiply
    192,569x = 255,578 × 255,578
  4. Step 4: Simplify right side
    192,569x = 65,320,114,084
  5. Step 5: Solve for x
    x = 65,320,114,084/192,569
  6. Step 6: Final answer
    x = 339,203.68

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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.