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Finding the Third Proportional to 117,198 and 181,623

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Solution

The third proportional to 117,198 and 181,623 is: 281,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,198 : 181,623 = 181,623 : x
  2. Step 2: Convert to fraction form
    117,198/181,623 = 181,623/x
  3. Step 3: Cross multiply
    117,198x = 181,623 × 181,623
  4. Step 4: Simplify right side
    117,198x = 32,986,914,129
  5. Step 5: Solve for x
    x = 32,986,914,129/117,198
  6. Step 6: Final answer
    x = 281,463.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.