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Finding the Third Proportional to 136,581 and 295,626

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Solution

The third proportional to 136,581 and 295,626 is: 639,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,581 : 295,626 = 295,626 : x
  2. Step 2: Convert to fraction form
    136,581/295,626 = 295,626/x
  3. Step 3: Cross multiply
    136,581x = 295,626 × 295,626
  4. Step 4: Simplify right side
    136,581x = 87,394,731,876
  5. Step 5: Solve for x
    x = 87,394,731,876/136,581
  6. Step 6: Final answer
    x = 639,874.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.