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Finding the Third Proportional to 188,860 and 405,673

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Solution

The third proportional to 188,860 and 405,673 is: 871,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,860 : 405,673 = 405,673 : x
  2. Step 2: Convert to fraction form
    188,860/405,673 = 405,673/x
  3. Step 3: Cross multiply
    188,860x = 405,673 × 405,673
  4. Step 4: Simplify right side
    188,860x = 164,570,582,929
  5. Step 5: Solve for x
    x = 164,570,582,929/188,860
  6. Step 6: Final answer
    x = 871,389.30

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Why These Related Problems?

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