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Finding the Third Proportional to 110,016 and 241,069

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Solution

The third proportional to 110,016 and 241,069 is: 528,234.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,016 : 241,069 = 241,069 : x
  2. Step 2: Convert to fraction form
    110,016/241,069 = 241,069/x
  3. Step 3: Cross multiply
    110,016x = 241,069 × 241,069
  4. Step 4: Simplify right side
    110,016x = 58,114,262,761
  5. Step 5: Solve for x
    x = 58,114,262,761/110,016
  6. Step 6: Final answer
    x = 528,234.65

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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.