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Finding the Third Proportional to 110,050 and 241,198

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Solution

The third proportional to 110,050 and 241,198 is: 528,636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,050 : 241,198 = 241,198 : x
  2. Step 2: Convert to fraction form
    110,050/241,198 = 241,198/x
  3. Step 3: Cross multiply
    110,050x = 241,198 × 241,198
  4. Step 4: Simplify right side
    110,050x = 58,176,475,204
  5. Step 5: Solve for x
    x = 58,176,475,204/110,050
  6. Step 6: Final answer
    x = 528,636.76

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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.