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Finding the Third Proportional to 179,341 and 393,512

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Solution

The third proportional to 179,341 and 393,512 is: 863,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,341 : 393,512 = 393,512 : x
  2. Step 2: Convert to fraction form
    179,341/393,512 = 393,512/x
  3. Step 3: Cross multiply
    179,341x = 393,512 × 393,512
  4. Step 4: Simplify right side
    179,341x = 154,851,694,144
  5. Step 5: Solve for x
    x = 154,851,694,144/179,341
  6. Step 6: Final answer
    x = 863,448.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.