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Finding the Third Proportional to 192,004 and 263,676

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Solution

The third proportional to 192,004 and 263,676 is: 362,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,004 : 263,676 = 263,676 : x
  2. Step 2: Convert to fraction form
    192,004/263,676 = 263,676/x
  3. Step 3: Cross multiply
    192,004x = 263,676 × 263,676
  4. Step 4: Simplify right side
    192,004x = 69,525,032,976
  5. Step 5: Solve for x
    x = 69,525,032,976/192,004
  6. Step 6: Final answer
    x = 362,102.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.