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Finding the Third Proportional to 147,974 and 323,626

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Solution

The third proportional to 147,974 and 323,626 is: 707,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,974 : 323,626 = 323,626 : x
  2. Step 2: Convert to fraction form
    147,974/323,626 = 323,626/x
  3. Step 3: Cross multiply
    147,974x = 323,626 × 323,626
  4. Step 4: Simplify right side
    147,974x = 104,733,787,876
  5. Step 5: Solve for x
    x = 104,733,787,876/147,974
  6. Step 6: Final answer
    x = 707,785.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.