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Finding the Third Proportional to 110,500 and 241,242

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Solution

The third proportional to 110,500 and 241,242 is: 526,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,500 : 241,242 = 241,242 : x
  2. Step 2: Convert to fraction form
    110,500/241,242 = 241,242/x
  3. Step 3: Cross multiply
    110,500x = 241,242 × 241,242
  4. Step 4: Simplify right side
    110,500x = 58,197,702,564
  5. Step 5: Solve for x
    x = 58,197,702,564/110,500
  6. Step 6: Final answer
    x = 526,676.04

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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.