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Finding the Third Proportional to 188,542.13 and 263,733.56

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Solution

The third proportional to 188,542.13 and 263,733.56 is: 368,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,542.13 : 263,733.56 = 263,733.56 : x
  2. Step 2: Convert to fraction form
    188,542.13/263,733.56 = 263,733.56/x
  3. Step 3: Cross multiply
    188,542.13x = 263,733.56 × 263,733.56
  4. Step 4: Simplify right side
    188,542.13x = 69,555,391,988.94
  5. Step 5: Solve for x
    x = 69,555,391,988.94/188,542.13
  6. Step 6: Final answer
    x = 368,911.68

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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.