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Finding the Third Proportional to 110,544 and 241,824

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Solution

The third proportional to 110,544 and 241,824 is: 529,009.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,544 : 241,824 = 241,824 : x
  2. Step 2: Convert to fraction form
    110,544/241,824 = 241,824/x
  3. Step 3: Cross multiply
    110,544x = 241,824 × 241,824
  4. Step 4: Simplify right side
    110,544x = 58,478,846,976
  5. Step 5: Solve for x
    x = 58,478,846,976/110,544
  6. Step 6: Final answer
    x = 529,009.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.