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Finding the Third Proportional to 110,540 and 238,692

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Solution

The third proportional to 110,540 and 238,692 is: 515,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540 : 238,692 = 238,692 : x
  2. Step 2: Convert to fraction form
    110,540/238,692 = 238,692/x
  3. Step 3: Cross multiply
    110,540x = 238,692 × 238,692
  4. Step 4: Simplify right side
    110,540x = 56,973,870,864
  5. Step 5: Solve for x
    x = 56,973,870,864/110,540
  6. Step 6: Final answer
    x = 515,414.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.