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Finding the Third Proportional to 188,860 and 405,788

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Solution

The third proportional to 188,860 and 405,788 is: 871,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,860 : 405,788 = 405,788 : x
  2. Step 2: Convert to fraction form
    188,860/405,788 = 405,788/x
  3. Step 3: Cross multiply
    188,860x = 405,788 × 405,788
  4. Step 4: Simplify right side
    188,860x = 164,663,900,944
  5. Step 5: Solve for x
    x = 164,663,900,944/188,860
  6. Step 6: Final answer
    x = 871,883.41

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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.