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Finding the Third Proportional to 110,548 and 238,568

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Solution

The third proportional to 110,548 and 238,568 is: 514,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,548 : 238,568 = 238,568 : x
  2. Step 2: Convert to fraction form
    110,548/238,568 = 238,568/x
  3. Step 3: Cross multiply
    110,548x = 238,568 × 238,568
  4. Step 4: Simplify right side
    110,548x = 56,914,690,624
  5. Step 5: Solve for x
    x = 56,914,690,624/110,548
  6. Step 6: Final answer
    x = 514,841.43

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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.