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Finding the Third Proportional to 166,822 and 347,467

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Solution

The third proportional to 166,822 and 347,467 is: 723,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,822 : 347,467 = 347,467 : x
  2. Step 2: Convert to fraction form
    166,822/347,467 = 347,467/x
  3. Step 3: Cross multiply
    166,822x = 347,467 × 347,467
  4. Step 4: Simplify right side
    166,822x = 120,733,316,089
  5. Step 5: Solve for x
    x = 120,733,316,089/166,822
  6. Step 6: Final answer
    x = 723,725.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.