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Finding the Third Proportional to 187,504 and 381,973

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Solution

The third proportional to 187,504 and 381,973 is: 778,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,504 : 381,973 = 381,973 : x
  2. Step 2: Convert to fraction form
    187,504/381,973 = 381,973/x
  3. Step 3: Cross multiply
    187,504x = 381,973 × 381,973
  4. Step 4: Simplify right side
    187,504x = 145,903,372,729
  5. Step 5: Solve for x
    x = 145,903,372,729/187,504
  6. Step 6: Final answer
    x = 778,134.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.