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Finding the Third Proportional to 188,027 and 291,286

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Solution

The third proportional to 188,027 and 291,286 is: 451,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,027 : 291,286 = 291,286 : x
  2. Step 2: Convert to fraction form
    188,027/291,286 = 291,286/x
  3. Step 3: Cross multiply
    188,027x = 291,286 × 291,286
  4. Step 4: Simplify right side
    188,027x = 84,847,533,796
  5. Step 5: Solve for x
    x = 84,847,533,796/188,027
  6. Step 6: Final answer
    x = 451,251.86

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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.