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Finding the Third Proportional to 131,876 and 209,667

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Solution

The third proportional to 131,876 and 209,667 is: 333,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,876 : 209,667 = 209,667 : x
  2. Step 2: Convert to fraction form
    131,876/209,667 = 209,667/x
  3. Step 3: Cross multiply
    131,876x = 209,667 × 209,667
  4. Step 4: Simplify right side
    131,876x = 43,960,250,889
  5. Step 5: Solve for x
    x = 43,960,250,889/131,876
  6. Step 6: Final answer
    x = 333,345.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.