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Finding the Third Proportional to 181,405.69 and 394,931.81

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Solution

The third proportional to 181,405.69 and 394,931.81 is: 859,791.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,405.69 : 394,931.81 = 394,931.81 : x
  2. Step 2: Convert to fraction form
    181,405.69/394,931.81 = 394,931.81/x
  3. Step 3: Cross multiply
    181,405.69x = 394,931.81 × 394,931.81
  4. Step 4: Simplify right side
    181,405.69x = 155,971,136,524.54
  5. Step 5: Solve for x
    x = 155,971,136,524.54/181,405.69
  6. Step 6: Final answer
    x = 859,791.88

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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.