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Finding the Third Proportional to 110,884 and 240,722

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Solution

The third proportional to 110,884 and 240,722 is: 522,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,884 : 240,722 = 240,722 : x
  2. Step 2: Convert to fraction form
    110,884/240,722 = 240,722/x
  3. Step 3: Cross multiply
    110,884x = 240,722 × 240,722
  4. Step 4: Simplify right side
    110,884x = 57,947,081,284
  5. Step 5: Solve for x
    x = 57,947,081,284/110,884
  6. Step 6: Final answer
    x = 522,591.91

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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.