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Finding the Third Proportional to 181,024 and 394,160

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Solution

The third proportional to 181,024 and 394,160 is: 858,240.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,024 : 394,160 = 394,160 : x
  2. Step 2: Convert to fraction form
    181,024/394,160 = 394,160/x
  3. Step 3: Cross multiply
    181,024x = 394,160 × 394,160
  4. Step 4: Simplify right side
    181,024x = 155,362,105,600
  5. Step 5: Solve for x
    x = 155,362,105,600/181,024
  6. Step 6: Final answer
    x = 858,240.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.