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Finding the Third Proportional to 110,224 and 240,824

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Solution

The third proportional to 110,224 and 240,824 is: 526,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,224 : 240,824 = 240,824 : x
  2. Step 2: Convert to fraction form
    110,224/240,824 = 240,824/x
  3. Step 3: Cross multiply
    110,224x = 240,824 × 240,824
  4. Step 4: Simplify right side
    110,224x = 57,996,198,976
  5. Step 5: Solve for x
    x = 57,996,198,976/110,224
  6. Step 6: Final answer
    x = 526,166.71

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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.