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Finding the Third Proportional to 185,704 and 282,908

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Solution

The third proportional to 185,704 and 282,908 is: 430,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,704 : 282,908 = 282,908 : x
  2. Step 2: Convert to fraction form
    185,704/282,908 = 282,908/x
  3. Step 3: Cross multiply
    185,704x = 282,908 × 282,908
  4. Step 4: Simplify right side
    185,704x = 80,036,936,464
  5. Step 5: Solve for x
    x = 80,036,936,464/185,704
  6. Step 6: Final answer
    x = 430,991.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.