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Finding the Third Proportional to 117,326 and 192,609

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Solution

The third proportional to 117,326 and 192,609 is: 316,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,326 : 192,609 = 192,609 : x
  2. Step 2: Convert to fraction form
    117,326/192,609 = 192,609/x
  3. Step 3: Cross multiply
    117,326x = 192,609 × 192,609
  4. Step 4: Simplify right side
    117,326x = 37,098,226,881
  5. Step 5: Solve for x
    x = 37,098,226,881/117,326
  6. Step 6: Final answer
    x = 316,197.83

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.