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Finding the Third Proportional to 220,750.31 and 491,467.50

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Solution

The third proportional to 220,750.31 and 491,467.50 is: 1,094,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,750.31 : 491,467.50 = 491,467.50 : x
  2. Step 2: Convert to fraction form
    220,750.31/491,467.50 = 491,467.50/x
  3. Step 3: Cross multiply
    220,750.31x = 491,467.50 × 491,467.50
  4. Step 4: Simplify right side
    220,750.31x = 241,540,303,556.25
  5. Step 5: Solve for x
    x = 241,540,303,556.25/220,750.31
  6. Step 6: Final answer
    x = 1,094,178.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.