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Finding the Third Proportional to 117,007.88 and 228,183.75

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Solution

The third proportional to 117,007.88 and 228,183.75 is: 444,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007.88 : 228,183.75 = 228,183.75 : x
  2. Step 2: Convert to fraction form
    117,007.88/228,183.75 = 228,183.75/x
  3. Step 3: Cross multiply
    117,007.88x = 228,183.75 × 228,183.75
  4. Step 4: Simplify right side
    117,007.88x = 52,067,823,764.06
  5. Step 5: Solve for x
    x = 52,067,823,764.06/117,007.88
  6. Step 6: Final answer
    x = 444,994.18

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.