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Finding the Third Proportional to 192,680 and 302,652

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Solution

The third proportional to 192,680 and 302,652 is: 475,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,680 : 302,652 = 302,652 : x
  2. Step 2: Convert to fraction form
    192,680/302,652 = 302,652/x
  3. Step 3: Cross multiply
    192,680x = 302,652 × 302,652
  4. Step 4: Simplify right side
    192,680x = 91,598,233,104
  5. Step 5: Solve for x
    x = 91,598,233,104/192,680
  6. Step 6: Final answer
    x = 475,390.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.