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Finding the Third Proportional to 110,789 and 241,885

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Solution

The third proportional to 110,789 and 241,885 is: 528,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,789 : 241,885 = 241,885 : x
  2. Step 2: Convert to fraction form
    110,789/241,885 = 241,885/x
  3. Step 3: Cross multiply
    110,789x = 241,885 × 241,885
  4. Step 4: Simplify right side
    110,789x = 58,508,353,225
  5. Step 5: Solve for x
    x = 58,508,353,225/110,789
  6. Step 6: Final answer
    x = 528,106.16

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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.