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Finding the Third Proportional to 181,836 and 388,944

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Solution

The third proportional to 181,836 and 388,944 is: 831,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,836 : 388,944 = 388,944 : x
  2. Step 2: Convert to fraction form
    181,836/388,944 = 388,944/x
  3. Step 3: Cross multiply
    181,836x = 388,944 × 388,944
  4. Step 4: Simplify right side
    181,836x = 151,277,435,136
  5. Step 5: Solve for x
    x = 151,277,435,136/181,836
  6. Step 6: Final answer
    x = 831,944.36

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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.