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Finding the Third Proportional to 188,852 and 405,772

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Solution

The third proportional to 188,852 and 405,772 is: 871,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,852 : 405,772 = 405,772 : x
  2. Step 2: Convert to fraction form
    188,852/405,772 = 405,772/x
  3. Step 3: Cross multiply
    188,852x = 405,772 × 405,772
  4. Step 4: Simplify right side
    188,852x = 164,650,915,984
  5. Step 5: Solve for x
    x = 164,650,915,984/188,852
  6. Step 6: Final answer
    x = 871,851.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.