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Finding the Third Proportional to 110,505 and 241,249.50

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Solution

The third proportional to 110,505 and 241,249.50 is: 526,684.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,505 : 241,249.50 = 241,249.50 : x
  2. Step 2: Convert to fraction form
    110,505/241,249.50 = 241,249.50/x
  3. Step 3: Cross multiply
    110,505x = 241,249.50 × 241,249.50
  4. Step 4: Simplify right side
    110,505x = 58,201,321,250.25
  5. Step 5: Solve for x
    x = 58,201,321,250.25/110,505
  6. Step 6: Final answer
    x = 526,684.96

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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.