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Finding the Third Proportional to 181,754 and 397,204

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Solution

The third proportional to 181,754 and 397,204 is: 868,047.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,754 : 397,204 = 397,204 : x
  2. Step 2: Convert to fraction form
    181,754/397,204 = 397,204/x
  3. Step 3: Cross multiply
    181,754x = 397,204 × 397,204
  4. Step 4: Simplify right side
    181,754x = 157,771,017,616
  5. Step 5: Solve for x
    x = 157,771,017,616/181,754
  6. Step 6: Final answer
    x = 868,047.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.