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Finding the Third Proportional to 248,499.75 and 331,083.75

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Solution

The third proportional to 248,499.75 and 331,083.75 is: 441,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,499.75 : 331,083.75 = 331,083.75 : x
  2. Step 2: Convert to fraction form
    248,499.75/331,083.75 = 331,083.75/x
  3. Step 3: Cross multiply
    248,499.75x = 331,083.75 × 331,083.75
  4. Step 4: Simplify right side
    248,499.75x = 109,616,449,514.06
  5. Step 5: Solve for x
    x = 109,616,449,514.06/248,499.75
  6. Step 6: Final answer
    x = 441,112.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.