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Finding the Third Proportional to 181,954 and 247,204

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Solution

The third proportional to 181,954 and 247,204 is: 335,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,954 : 247,204 = 247,204 : x
  2. Step 2: Convert to fraction form
    181,954/247,204 = 247,204/x
  3. Step 3: Cross multiply
    181,954x = 247,204 × 247,204
  4. Step 4: Simplify right side
    181,954x = 61,109,817,616
  5. Step 5: Solve for x
    x = 61,109,817,616/181,954
  6. Step 6: Final answer
    x = 335,853.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.