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Finding the Third Proportional to 181,844 and 388,958

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Solution

The third proportional to 181,844 and 388,958 is: 831,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,844 : 388,958 = 388,958 : x
  2. Step 2: Convert to fraction form
    181,844/388,958 = 388,958/x
  3. Step 3: Cross multiply
    181,844x = 388,958 × 388,958
  4. Step 4: Simplify right side
    181,844x = 151,288,325,764
  5. Step 5: Solve for x
    x = 151,288,325,764/181,844
  6. Step 6: Final answer
    x = 831,967.65

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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.