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Finding the Third Proportional to 159,026 and 222,873

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Solution

The third proportional to 159,026 and 222,873 is: 312,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,026 : 222,873 = 222,873 : x
  2. Step 2: Convert to fraction form
    159,026/222,873 = 222,873/x
  3. Step 3: Cross multiply
    159,026x = 222,873 × 222,873
  4. Step 4: Simplify right side
    159,026x = 49,672,374,129
  5. Step 5: Solve for x
    x = 49,672,374,129/159,026
  6. Step 6: Final answer
    x = 312,353.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.