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Finding the Third Proportional to 110,328 and 238,147

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Solution

The third proportional to 110,328 and 238,147 is: 514,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,328 : 238,147 = 238,147 : x
  2. Step 2: Convert to fraction form
    110,328/238,147 = 238,147/x
  3. Step 3: Cross multiply
    110,328x = 238,147 × 238,147
  4. Step 4: Simplify right side
    110,328x = 56,713,993,609
  5. Step 5: Solve for x
    x = 56,713,993,609/110,328
  6. Step 6: Final answer
    x = 514,048.96

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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.