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Finding the Third Proportional to 110,486.21 and 241,212.86

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Solution

The third proportional to 110,486.21 and 241,212.86 is: 526,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,486.21 : 241,212.86 = 241,212.86 : x
  2. Step 2: Convert to fraction form
    110,486.21/241,212.86 = 241,212.86/x
  3. Step 3: Cross multiply
    110,486.21x = 241,212.86 × 241,212.86
  4. Step 4: Simplify right side
    110,486.21x = 58,183,643,056.74
  5. Step 5: Solve for x
    x = 58,183,643,056.74/110,486.21
  6. Step 6: Final answer
    x = 526,614.50

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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.