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Finding the Third Proportional to 111,198 and 242,052

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Solution

The third proportional to 111,198 and 242,052 is: 526,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,198 : 242,052 = 242,052 : x
  2. Step 2: Convert to fraction form
    111,198/242,052 = 242,052/x
  3. Step 3: Cross multiply
    111,198x = 242,052 × 242,052
  4. Step 4: Simplify right side
    111,198x = 58,589,170,704
  5. Step 5: Solve for x
    x = 58,589,170,704/111,198
  6. Step 6: Final answer
    x = 526,890.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.