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Finding the Third Proportional to 181,533 and 394,548.75

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Solution

The third proportional to 181,533 and 394,548.75 is: 857,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,533 : 394,548.75 = 394,548.75 : x
  2. Step 2: Convert to fraction form
    181,533/394,548.75 = 394,548.75/x
  3. Step 3: Cross multiply
    181,533x = 394,548.75 × 394,548.75
  4. Step 4: Simplify right side
    181,533x = 155,668,716,126.56
  5. Step 5: Solve for x
    x = 155,668,716,126.56/181,533
  6. Step 6: Final answer
    x = 857,522.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.