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Finding the Third Proportional to 110,440 and 240,512

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Solution

The third proportional to 110,440 and 240,512 is: 523,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,440 : 240,512 = 240,512 : x
  2. Step 2: Convert to fraction form
    110,440/240,512 = 240,512/x
  3. Step 3: Cross multiply
    110,440x = 240,512 × 240,512
  4. Step 4: Simplify right side
    110,440x = 57,846,022,144
  5. Step 5: Solve for x
    x = 57,846,022,144/110,440
  6. Step 6: Final answer
    x = 523,777.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.