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Finding the Third Proportional to 166,066 and 264,371

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Solution

The third proportional to 166,066 and 264,371 is: 420,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,066 : 264,371 = 264,371 : x
  2. Step 2: Convert to fraction form
    166,066/264,371 = 264,371/x
  3. Step 3: Cross multiply
    166,066x = 264,371 × 264,371
  4. Step 4: Simplify right side
    166,066x = 69,892,025,641
  5. Step 5: Solve for x
    x = 69,892,025,641/166,066
  6. Step 6: Final answer
    x = 420,868.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.