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Finding the Third Proportional to 192,330 and 282,243

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Solution

The third proportional to 192,330 and 282,243 is: 414,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,330 : 282,243 = 282,243 : x
  2. Step 2: Convert to fraction form
    192,330/282,243 = 282,243/x
  3. Step 3: Cross multiply
    192,330x = 282,243 × 282,243
  4. Step 4: Simplify right side
    192,330x = 79,661,111,049
  5. Step 5: Solve for x
    x = 79,661,111,049/192,330
  6. Step 6: Final answer
    x = 414,189.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.