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Finding the Third Proportional to 111,307 and 246,622

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Solution

The third proportional to 111,307 and 246,622 is: 546,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,307 : 246,622 = 246,622 : x
  2. Step 2: Convert to fraction form
    111,307/246,622 = 246,622/x
  3. Step 3: Cross multiply
    111,307x = 246,622 × 246,622
  4. Step 4: Simplify right side
    111,307x = 60,822,410,884
  5. Step 5: Solve for x
    x = 60,822,410,884/111,307
  6. Step 6: Final answer
    x = 546,438.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.