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Finding the Third Proportional to 219,059 and 332,688

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Solution

The third proportional to 219,059 and 332,688 is: 505,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,059 : 332,688 = 332,688 : x
  2. Step 2: Convert to fraction form
    219,059/332,688 = 332,688/x
  3. Step 3: Cross multiply
    219,059x = 332,688 × 332,688
  4. Step 4: Simplify right side
    219,059x = 110,681,305,344
  5. Step 5: Solve for x
    x = 110,681,305,344/219,059
  6. Step 6: Final answer
    x = 505,257.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.