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Finding the Third Proportional to 192,684 and 302,658

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Solution

The third proportional to 192,684 and 302,658 is: 475,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,684 : 302,658 = 302,658 : x
  2. Step 2: Convert to fraction form
    192,684/302,658 = 302,658/x
  3. Step 3: Cross multiply
    192,684x = 302,658 × 302,658
  4. Step 4: Simplify right side
    192,684x = 91,601,864,964
  5. Step 5: Solve for x
    x = 91,601,864,964/192,684
  6. Step 6: Final answer
    x = 475,399.44

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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.