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Finding the Third Proportional to 110,520 and 238,698

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Solution

The third proportional to 110,520 and 238,698 is: 515,533.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,520 : 238,698 = 238,698 : x
  2. Step 2: Convert to fraction form
    110,520/238,698 = 238,698/x
  3. Step 3: Cross multiply
    110,520x = 238,698 × 238,698
  4. Step 4: Simplify right side
    110,520x = 56,976,735,204
  5. Step 5: Solve for x
    x = 56,976,735,204/110,520
  6. Step 6: Final answer
    x = 515,533.25

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Why These Related Problems?

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