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Finding the Third Proportional to 188,367.75 and 263,999.63

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Solution

The third proportional to 188,367.75 and 263,999.63 is: 369,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,367.75 : 263,999.63 = 263,999.63 : x
  2. Step 2: Convert to fraction form
    188,367.75/263,999.63 = 263,999.63/x
  3. Step 3: Cross multiply
    188,367.75x = 263,999.63 × 263,999.63
  4. Step 4: Simplify right side
    188,367.75x = 69,695,802,000.14
  5. Step 5: Solve for x
    x = 69,695,802,000.14/188,367.75
  6. Step 6: Final answer
    x = 369,998.59

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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.