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Finding the Third Proportional to 181,811 and 388,894

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Solution

The third proportional to 181,811 and 388,894 is: 831,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,811 : 388,894 = 388,894 : x
  2. Step 2: Convert to fraction form
    181,811/388,894 = 388,894/x
  3. Step 3: Cross multiply
    181,811x = 388,894 × 388,894
  4. Step 4: Simplify right side
    181,811x = 151,238,543,236
  5. Step 5: Solve for x
    x = 151,238,543,236/181,811
  6. Step 6: Final answer
    x = 831,844.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.