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Finding the Third Proportional to 168,866 and 263,523

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Solution

The third proportional to 168,866 and 263,523 is: 411,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,866 : 263,523 = 263,523 : x
  2. Step 2: Convert to fraction form
    168,866/263,523 = 263,523/x
  3. Step 3: Cross multiply
    168,866x = 263,523 × 263,523
  4. Step 4: Simplify right side
    168,866x = 69,444,371,529
  5. Step 5: Solve for x
    x = 69,444,371,529/168,866
  6. Step 6: Final answer
    x = 411,239.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.