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Finding the Third Proportional to 171,682 and 262,630

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Solution

The third proportional to 171,682 and 262,630 is: 401,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,682 : 262,630 = 262,630 : x
  2. Step 2: Convert to fraction form
    171,682/262,630 = 262,630/x
  3. Step 3: Cross multiply
    171,682x = 262,630 × 262,630
  4. Step 4: Simplify right side
    171,682x = 68,974,516,900
  5. Step 5: Solve for x
    x = 68,974,516,900/171,682
  6. Step 6: Final answer
    x = 401,757.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.