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Finding the Third Proportional to 190,082 and 408,244

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Solution

The third proportional to 190,082 and 408,244 is: 876,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,082 : 408,244 = 408,244 : x
  2. Step 2: Convert to fraction form
    190,082/408,244 = 408,244/x
  3. Step 3: Cross multiply
    190,082x = 408,244 × 408,244
  4. Step 4: Simplify right side
    190,082x = 166,663,163,536
  5. Step 5: Solve for x
    x = 166,663,163,536/190,082
  6. Step 6: Final answer
    x = 876,796.14

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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.