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Finding the Third Proportional to 192,628.50 and 255,665

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Solution

The third proportional to 192,628.50 and 255,665 is: 339,329.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,628.50 : 255,665 = 255,665 : x
  2. Step 2: Convert to fraction form
    192,628.50/255,665 = 255,665/x
  3. Step 3: Cross multiply
    192,628.50x = 255,665 × 255,665
  4. Step 4: Simplify right side
    192,628.50x = 65,364,592,225
  5. Step 5: Solve for x
    x = 65,364,592,225/192,628.50
  6. Step 6: Final answer
    x = 339,329.81

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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.