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Finding the Third Proportional to 166,824 and 363,024

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Solution

The third proportional to 166,824 and 363,024 is: 789,972.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,824 : 363,024 = 363,024 : x
  2. Step 2: Convert to fraction form
    166,824/363,024 = 363,024/x
  3. Step 3: Cross multiply
    166,824x = 363,024 × 363,024
  4. Step 4: Simplify right side
    166,824x = 131,786,424,576
  5. Step 5: Solve for x
    x = 131,786,424,576/166,824
  6. Step 6: Final answer
    x = 789,972.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.