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Finding the Third Proportional to 192,665 and 306,843

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Solution

The third proportional to 192,665 and 306,843 is: 488,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,665 : 306,843 = 306,843 : x
  2. Step 2: Convert to fraction form
    192,665/306,843 = 306,843/x
  3. Step 3: Cross multiply
    192,665x = 306,843 × 306,843
  4. Step 4: Simplify right side
    192,665x = 94,152,626,649
  5. Step 5: Solve for x
    x = 94,152,626,649/192,665
  6. Step 6: Final answer
    x = 488,685.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.