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Finding the Third Proportional to 215,826 and 326,749

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Solution

The third proportional to 215,826 and 326,749 is: 494,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,826 : 326,749 = 326,749 : x
  2. Step 2: Convert to fraction form
    215,826/326,749 = 326,749/x
  3. Step 3: Cross multiply
    215,826x = 326,749 × 326,749
  4. Step 4: Simplify right side
    215,826x = 106,764,909,001
  5. Step 5: Solve for x
    x = 106,764,909,001/215,826
  6. Step 6: Final answer
    x = 494,680.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.