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Finding the Third Proportional to 185,250 and 287,027

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Solution

The third proportional to 185,250 and 287,027 is: 444,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,250 : 287,027 = 287,027 : x
  2. Step 2: Convert to fraction form
    185,250/287,027 = 287,027/x
  3. Step 3: Cross multiply
    185,250x = 287,027 × 287,027
  4. Step 4: Simplify right side
    185,250x = 82,384,498,729
  5. Step 5: Solve for x
    x = 82,384,498,729/185,250
  6. Step 6: Final answer
    x = 444,720.64

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Why These Related Problems?

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