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Finding the Third Proportional to 192,682 and 302,655

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Solution

The third proportional to 192,682 and 302,655 is: 475,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,682 : 302,655 = 302,655 : x
  2. Step 2: Convert to fraction form
    192,682/302,655 = 302,655/x
  3. Step 3: Cross multiply
    192,682x = 302,655 × 302,655
  4. Step 4: Simplify right side
    192,682x = 91,600,049,025
  5. Step 5: Solve for x
    x = 91,600,049,025/192,682
  6. Step 6: Final answer
    x = 475,394.95

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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.