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Finding the Third Proportional to 192,004 and 426,626

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Solution

The third proportional to 192,004 and 426,626 is: 947,947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,004 : 426,626 = 426,626 : x
  2. Step 2: Convert to fraction form
    192,004/426,626 = 426,626/x
  3. Step 3: Cross multiply
    192,004x = 426,626 × 426,626
  4. Step 4: Simplify right side
    192,004x = 182,009,743,876
  5. Step 5: Solve for x
    x = 182,009,743,876/192,004
  6. Step 6: Final answer
    x = 947,947.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.