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Finding the Third Proportional to 138,027 and 297,171

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Solution

The third proportional to 138,027 and 297,171 is: 639,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,027 : 297,171 = 297,171 : x
  2. Step 2: Convert to fraction form
    138,027/297,171 = 297,171/x
  3. Step 3: Cross multiply
    138,027x = 297,171 × 297,171
  4. Step 4: Simplify right side
    138,027x = 88,310,603,241
  5. Step 5: Solve for x
    x = 88,310,603,241/138,027
  6. Step 6: Final answer
    x = 639,806.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.