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Finding the Third Proportional to 169,242 and 361,812

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Solution

The third proportional to 169,242 and 361,812 is: 773,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,242 : 361,812 = 361,812 : x
  2. Step 2: Convert to fraction form
    169,242/361,812 = 361,812/x
  3. Step 3: Cross multiply
    169,242x = 361,812 × 361,812
  4. Step 4: Simplify right side
    169,242x = 130,907,923,344
  5. Step 5: Solve for x
    x = 130,907,923,344/169,242
  6. Step 6: Final answer
    x = 773,495.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.