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Finding the Third Proportional to 181,845 and 388,962

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Solution

The third proportional to 181,845 and 388,962 is: 831,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,845 : 388,962 = 388,962 : x
  2. Step 2: Convert to fraction form
    181,845/388,962 = 388,962/x
  3. Step 3: Cross multiply
    181,845x = 388,962 × 388,962
  4. Step 4: Simplify right side
    181,845x = 151,291,437,444
  5. Step 5: Solve for x
    x = 151,291,437,444/181,845
  6. Step 6: Final answer
    x = 831,980.19

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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.