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Finding the Third Proportional to 110,502 and 241,245

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Solution

The third proportional to 110,502 and 241,245 is: 526,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502 : 241,245 = 241,245 : x
  2. Step 2: Convert to fraction form
    110,502/241,245 = 241,245/x
  3. Step 3: Cross multiply
    110,502x = 241,245 × 241,245
  4. Step 4: Simplify right side
    110,502x = 58,199,150,025
  5. Step 5: Solve for x
    x = 58,199,150,025/110,502
  6. Step 6: Final answer
    x = 526,679.61

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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.