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Finding the Third Proportional to 169,266 and 361,860

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Solution

The third proportional to 169,266 and 361,860 is: 773,591.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,266 : 361,860 = 361,860 : x
  2. Step 2: Convert to fraction form
    169,266/361,860 = 361,860/x
  3. Step 3: Cross multiply
    169,266x = 361,860 × 361,860
  4. Step 4: Simplify right side
    169,266x = 130,942,659,600
  5. Step 5: Solve for x
    x = 130,942,659,600/169,266
  6. Step 6: Final answer
    x = 773,591.03

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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.