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Finding the Third Proportional to 117,723 and 241,647.75

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Solution

The third proportional to 117,723 and 241,647.75 is: 496,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,723 : 241,647.75 = 241,647.75 : x
  2. Step 2: Convert to fraction form
    117,723/241,647.75 = 241,647.75/x
  3. Step 3: Cross multiply
    117,723x = 241,647.75 × 241,647.75
  4. Step 4: Simplify right side
    117,723x = 58,393,635,080.06
  5. Step 5: Solve for x
    x = 58,393,635,080.06/117,723
  6. Step 6: Final answer
    x = 496,025.71

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.