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Finding the Third Proportional to 192,164 and 393,832

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Solution

The third proportional to 192,164 and 393,832 is: 807,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,164 : 393,832 = 393,832 : x
  2. Step 2: Convert to fraction form
    192,164/393,832 = 393,832/x
  3. Step 3: Cross multiply
    192,164x = 393,832 × 393,832
  4. Step 4: Simplify right side
    192,164x = 155,103,644,224
  5. Step 5: Solve for x
    x = 155,103,644,224/192,164
  6. Step 6: Final answer
    x = 807,142.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.