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Finding the Third Proportional to 192,530.25 and 409,997.25

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Solution

The third proportional to 192,530.25 and 409,997.25 is: 873,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,530.25 : 409,997.25 = 409,997.25 : x
  2. Step 2: Convert to fraction form
    192,530.25/409,997.25 = 409,997.25/x
  3. Step 3: Cross multiply
    192,530.25x = 409,997.25 × 409,997.25
  4. Step 4: Simplify right side
    192,530.25x = 168,097,745,007.56
  5. Step 5: Solve for x
    x = 168,097,745,007.56/192,530.25
  6. Step 6: Final answer
    x = 873,097.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.