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Finding the Third Proportional to 221,340 and 332,010

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Solution

The third proportional to 221,340 and 332,010 is: 498,015

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,340 : 332,010 = 332,010 : x
  2. Step 2: Convert to fraction form
    221,340/332,010 = 332,010/x
  3. Step 3: Cross multiply
    221,340x = 332,010 × 332,010
  4. Step 4: Simplify right side
    221,340x = 110,230,640,100
  5. Step 5: Solve for x
    x = 110,230,640,100/221,340
  6. Step 6: Final answer
    x = 498,015

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.