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Finding the Third Proportional to 187,226 and 406,198

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Solution

The third proportional to 187,226 and 406,198 is: 881,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,226 : 406,198 = 406,198 : x
  2. Step 2: Convert to fraction form
    187,226/406,198 = 406,198/x
  3. Step 3: Cross multiply
    187,226x = 406,198 × 406,198
  4. Step 4: Simplify right side
    187,226x = 164,996,815,204
  5. Step 5: Solve for x
    x = 164,996,815,204/187,226
  6. Step 6: Final answer
    x = 881,270.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.