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Finding the Third Proportional to 137,972 and 295,626

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Solution

The third proportional to 137,972 and 295,626 is: 633,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,972 : 295,626 = 295,626 : x
  2. Step 2: Convert to fraction form
    137,972/295,626 = 295,626/x
  3. Step 3: Cross multiply
    137,972x = 295,626 × 295,626
  4. Step 4: Simplify right side
    137,972x = 87,394,731,876
  5. Step 5: Solve for x
    x = 87,394,731,876/137,972
  6. Step 6: Final answer
    x = 633,423.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.