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Finding the Third Proportional to 168,586 and 237,144

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Solution

The third proportional to 168,586 and 237,144 is: 333,582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,586 : 237,144 = 237,144 : x
  2. Step 2: Convert to fraction form
    168,586/237,144 = 237,144/x
  3. Step 3: Cross multiply
    168,586x = 237,144 × 237,144
  4. Step 4: Simplify right side
    168,586x = 56,237,276,736
  5. Step 5: Solve for x
    x = 56,237,276,736/168,586
  6. Step 6: Final answer
    x = 333,582.13

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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.