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Finding the Third Proportional to 110,912 and 240,508

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Solution

The third proportional to 110,912 and 240,508 is: 521,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,912 : 240,508 = 240,508 : x
  2. Step 2: Convert to fraction form
    110,912/240,508 = 240,508/x
  3. Step 3: Cross multiply
    110,912x = 240,508 × 240,508
  4. Step 4: Simplify right side
    110,912x = 57,844,098,064
  5. Step 5: Solve for x
    x = 57,844,098,064/110,912
  6. Step 6: Final answer
    x = 521,531.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.