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Finding the Third Proportional to 275,223.75 and 421,042.50

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Solution

The third proportional to 275,223.75 and 421,042.50 is: 644,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,223.75 : 421,042.50 = 421,042.50 : x
  2. Step 2: Convert to fraction form
    275,223.75/421,042.50 = 421,042.50/x
  3. Step 3: Cross multiply
    275,223.75x = 421,042.50 × 421,042.50
  4. Step 4: Simplify right side
    275,223.75x = 177,276,786,806.25
  5. Step 5: Solve for x
    x = 177,276,786,806.25/275,223.75
  6. Step 6: Final answer
    x = 644,118.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.