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Finding the Third Proportional to 110,511 and 234,162

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Solution

The third proportional to 110,511 and 234,162 is: 496,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,511 : 234,162 = 234,162 : x
  2. Step 2: Convert to fraction form
    110,511/234,162 = 234,162/x
  3. Step 3: Cross multiply
    110,511x = 234,162 × 234,162
  4. Step 4: Simplify right side
    110,511x = 54,831,842,244
  5. Step 5: Solve for x
    x = 54,831,842,244/110,511
  6. Step 6: Final answer
    x = 496,166.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.