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Finding the Third Proportional to 166,304 and 364,800

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Solution

The third proportional to 166,304 and 364,800 is: 800,215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,304 : 364,800 = 364,800 : x
  2. Step 2: Convert to fraction form
    166,304/364,800 = 364,800/x
  3. Step 3: Cross multiply
    166,304x = 364,800 × 364,800
  4. Step 4: Simplify right side
    166,304x = 133,079,040,000
  5. Step 5: Solve for x
    x = 133,079,040,000/166,304
  6. Step 6: Final answer
    x = 800,215.51

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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.