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Finding the Third Proportional to 111,714.75 and 263,490.75

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Solution

The third proportional to 111,714.75 and 263,490.75 is: 621,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,714.75 : 263,490.75 = 263,490.75 : x
  2. Step 2: Convert to fraction form
    111,714.75/263,490.75 = 263,490.75/x
  3. Step 3: Cross multiply
    111,714.75x = 263,490.75 × 263,490.75
  4. Step 4: Simplify right side
    111,714.75x = 69,427,375,335.56
  5. Step 5: Solve for x
    x = 69,427,375,335.56/111,714.75
  6. Step 6: Final answer
    x = 621,470.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.