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Finding the Third Proportional to 135,877 and 295,167

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Solution

The third proportional to 135,877 and 295,167 is: 641,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,877 : 295,167 = 295,167 : x
  2. Step 2: Convert to fraction form
    135,877/295,167 = 295,167/x
  3. Step 3: Cross multiply
    135,877x = 295,167 × 295,167
  4. Step 4: Simplify right side
    135,877x = 87,123,557,889
  5. Step 5: Solve for x
    x = 87,123,557,889/135,877
  6. Step 6: Final answer
    x = 641,194.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.