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Finding the Third Proportional to 166,828 and 347,462

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Solution

The third proportional to 166,828 and 347,462 is: 723,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,828 : 347,462 = 347,462 : x
  2. Step 2: Convert to fraction form
    166,828/347,462 = 347,462/x
  3. Step 3: Cross multiply
    166,828x = 347,462 × 347,462
  4. Step 4: Simplify right side
    166,828x = 120,729,841,444
  5. Step 5: Solve for x
    x = 120,729,841,444/166,828
  6. Step 6: Final answer
    x = 723,678.53

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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.