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Finding the Third Proportional to 181,830 and 388,932

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Solution

The third proportional to 181,830 and 388,932 is: 831,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,830 : 388,932 = 388,932 : x
  2. Step 2: Convert to fraction form
    181,830/388,932 = 388,932/x
  3. Step 3: Cross multiply
    181,830x = 388,932 × 388,932
  4. Step 4: Simplify right side
    181,830x = 151,268,100,624
  5. Step 5: Solve for x
    x = 151,268,100,624/181,830
  6. Step 6: Final answer
    x = 831,920.48

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