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Finding the Third Proportional to 168,764 and 237,355

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Solution

The third proportional to 168,764 and 237,355 is: 333,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,764 : 237,355 = 237,355 : x
  2. Step 2: Convert to fraction form
    168,764/237,355 = 237,355/x
  3. Step 3: Cross multiply
    168,764x = 237,355 × 237,355
  4. Step 4: Simplify right side
    168,764x = 56,337,396,025
  5. Step 5: Solve for x
    x = 56,337,396,025/168,764
  6. Step 6: Final answer
    x = 333,823.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.