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Finding the Third Proportional to 117,226.62 and 274,101.15

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Solution

The third proportional to 117,226.62 and 274,101.15 is: 640,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,226.62 : 274,101.15 = 274,101.15 : x
  2. Step 2: Convert to fraction form
    117,226.62/274,101.15 = 274,101.15/x
  3. Step 3: Cross multiply
    117,226.62x = 274,101.15 × 274,101.15
  4. Step 4: Simplify right side
    117,226.62x = 75,131,441,716.17
  5. Step 5: Solve for x
    x = 75,131,441,716.17/117,226.62
  6. Step 6: Final answer
    x = 640,907.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.