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Finding the Third Proportional to 168,900 and 361,392

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Solution

The third proportional to 168,900 and 361,392 is: 773,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,900 : 361,392 = 361,392 : x
  2. Step 2: Convert to fraction form
    168,900/361,392 = 361,392/x
  3. Step 3: Cross multiply
    168,900x = 361,392 × 361,392
  4. Step 4: Simplify right side
    168,900x = 130,604,177,664
  5. Step 5: Solve for x
    x = 130,604,177,664/168,900
  6. Step 6: Final answer
    x = 773,263.34

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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.