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Finding the Third Proportional to 187,996 and 291,241

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Solution

The third proportional to 187,996 and 291,241 is: 451,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,996 : 291,241 = 291,241 : x
  2. Step 2: Convert to fraction form
    187,996/291,241 = 291,241/x
  3. Step 3: Cross multiply
    187,996x = 291,241 × 291,241
  4. Step 4: Simplify right side
    187,996x = 84,821,320,081
  5. Step 5: Solve for x
    x = 84,821,320,081/187,996
  6. Step 6: Final answer
    x = 451,186.83

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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.