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Finding the Third Proportional to 188,362 and 263,990

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Solution

The third proportional to 188,362 and 263,990 is: 369,982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,362 : 263,990 = 263,990 : x
  2. Step 2: Convert to fraction form
    188,362/263,990 = 263,990/x
  3. Step 3: Cross multiply
    188,362x = 263,990 × 263,990
  4. Step 4: Simplify right side
    188,362x = 69,690,720,100
  5. Step 5: Solve for x
    x = 69,690,720,100/188,362
  6. Step 6: Final answer
    x = 369,982.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.