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Finding the Third Proportional to 168,304 and 368,234

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Solution

The third proportional to 168,304 and 368,234 is: 805,662.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,304 : 368,234 = 368,234 : x
  2. Step 2: Convert to fraction form
    168,304/368,234 = 368,234/x
  3. Step 3: Cross multiply
    168,304x = 368,234 × 368,234
  4. Step 4: Simplify right side
    168,304x = 135,596,278,756
  5. Step 5: Solve for x
    x = 135,596,278,756/168,304
  6. Step 6: Final answer
    x = 805,662.84

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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.