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Finding the Third Proportional to 187,723 and 381,967

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Solution

The third proportional to 187,723 and 381,967 is: 777,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,723 : 381,967 = 381,967 : x
  2. Step 2: Convert to fraction form
    187,723/381,967 = 381,967/x
  3. Step 3: Cross multiply
    187,723x = 381,967 × 381,967
  4. Step 4: Simplify right side
    187,723x = 145,898,789,089
  5. Step 5: Solve for x
    x = 145,898,789,089/187,723
  6. Step 6: Final answer
    x = 777,202.52

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.