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Finding the Third Proportional to 159,645 and 213,027

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Solution

The third proportional to 159,645 and 213,027 is: 284,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,645 : 213,027 = 213,027 : x
  2. Step 2: Convert to fraction form
    159,645/213,027 = 213,027/x
  3. Step 3: Cross multiply
    159,645x = 213,027 × 213,027
  4. Step 4: Simplify right side
    159,645x = 45,380,502,729
  5. Step 5: Solve for x
    x = 45,380,502,729/159,645
  6. Step 6: Final answer
    x = 284,258.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.