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Finding the Third Proportional to 110,786 and 241,622

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Solution

The third proportional to 110,786 and 241,622 is: 526,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,786 : 241,622 = 241,622 : x
  2. Step 2: Convert to fraction form
    110,786/241,622 = 241,622/x
  3. Step 3: Cross multiply
    110,786x = 241,622 × 241,622
  4. Step 4: Simplify right side
    110,786x = 58,381,190,884
  5. Step 5: Solve for x
    x = 58,381,190,884/110,786
  6. Step 6: Final answer
    x = 526,972.64

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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.