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Finding the Third Proportional to 192,705 and 414,936

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Solution

The third proportional to 192,705 and 414,936 is: 893,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,705 : 414,936 = 414,936 : x
  2. Step 2: Convert to fraction form
    192,705/414,936 = 414,936/x
  3. Step 3: Cross multiply
    192,705x = 414,936 × 414,936
  4. Step 4: Simplify right side
    192,705x = 172,171,884,096
  5. Step 5: Solve for x
    x = 172,171,884,096/192,705
  6. Step 6: Final answer
    x = 893,447.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.