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Finding the Third Proportional to 187,978 and 290,872

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Solution

The third proportional to 187,978 and 290,872 is: 450,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,978 : 290,872 = 290,872 : x
  2. Step 2: Convert to fraction form
    187,978/290,872 = 290,872/x
  3. Step 3: Cross multiply
    187,978x = 290,872 × 290,872
  4. Step 4: Simplify right side
    187,978x = 84,606,520,384
  5. Step 5: Solve for x
    x = 84,606,520,384/187,978
  6. Step 6: Final answer
    x = 450,087.35

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