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Finding the Third Proportional to 110,986 and 240,824

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Solution

The third proportional to 110,986 and 240,824 is: 522,554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,986 : 240,824 = 240,824 : x
  2. Step 2: Convert to fraction form
    110,986/240,824 = 240,824/x
  3. Step 3: Cross multiply
    110,986x = 240,824 × 240,824
  4. Step 4: Simplify right side
    110,986x = 57,996,198,976
  5. Step 5: Solve for x
    x = 57,996,198,976/110,986
  6. Step 6: Final answer
    x = 522,554.19

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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.