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Finding the Third Proportional to 166,698 and 364,500

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Solution

The third proportional to 166,698 and 364,500 is: 797,011.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,698 : 364,500 = 364,500 : x
  2. Step 2: Convert to fraction form
    166,698/364,500 = 364,500/x
  3. Step 3: Cross multiply
    166,698x = 364,500 × 364,500
  4. Step 4: Simplify right side
    166,698x = 132,860,250,000
  5. Step 5: Solve for x
    x = 132,860,250,000/166,698
  6. Step 6: Final answer
    x = 797,011.66

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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.