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Finding the Third Proportional to 110,779 and 241,608

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Solution

The third proportional to 110,779 and 241,608 is: 526,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,779 : 241,608 = 241,608 : x
  2. Step 2: Convert to fraction form
    110,779/241,608 = 241,608/x
  3. Step 3: Cross multiply
    110,779x = 241,608 × 241,608
  4. Step 4: Simplify right side
    110,779x = 58,374,425,664
  5. Step 5: Solve for x
    x = 58,374,425,664/110,779
  6. Step 6: Final answer
    x = 526,944.87

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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.