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Finding the Third Proportional to 181,825 and 388,921

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Solution

The third proportional to 181,825 and 388,921 is: 831,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,825 : 388,921 = 388,921 : x
  2. Step 2: Convert to fraction form
    181,825/388,921 = 388,921/x
  3. Step 3: Cross multiply
    181,825x = 388,921 × 388,921
  4. Step 4: Simplify right side
    181,825x = 151,259,544,241
  5. Step 5: Solve for x
    x = 151,259,544,241/181,825
  6. Step 6: Final answer
    x = 831,896.30

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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.