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Finding the Third Proportional to 110,616 and 238,512

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Solution

The third proportional to 110,616 and 238,512 is: 514,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,616 : 238,512 = 238,512 : x
  2. Step 2: Convert to fraction form
    110,616/238,512 = 238,512/x
  3. Step 3: Cross multiply
    110,616x = 238,512 × 238,512
  4. Step 4: Simplify right side
    110,616x = 56,887,974,144
  5. Step 5: Solve for x
    x = 56,887,974,144/110,616
  6. Step 6: Final answer
    x = 514,283.41

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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.