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Finding the Third Proportional to 185,648 and 381,132

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Solution

The third proportional to 185,648 and 381,132 is: 782,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,648 : 381,132 = 381,132 : x
  2. Step 2: Convert to fraction form
    185,648/381,132 = 381,132/x
  3. Step 3: Cross multiply
    185,648x = 381,132 × 381,132
  4. Step 4: Simplify right side
    185,648x = 145,261,601,424
  5. Step 5: Solve for x
    x = 145,261,601,424/185,648
  6. Step 6: Final answer
    x = 782,457.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.