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Finding the Third Proportional to 166,066 and 251,064

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Solution

The third proportional to 166,066 and 251,064 is: 379,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,066 : 251,064 = 251,064 : x
  2. Step 2: Convert to fraction form
    166,066/251,064 = 251,064/x
  3. Step 3: Cross multiply
    166,066x = 251,064 × 251,064
  4. Step 4: Simplify right side
    166,066x = 63,033,132,096
  5. Step 5: Solve for x
    x = 63,033,132,096/166,066
  6. Step 6: Final answer
    x = 379,566.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.