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Finding the Third Proportional to 192,824 and 400,230

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Solution

The third proportional to 192,824 and 400,230 is: 830,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,824 : 400,230 = 400,230 : x
  2. Step 2: Convert to fraction form
    192,824/400,230 = 400,230/x
  3. Step 3: Cross multiply
    192,824x = 400,230 × 400,230
  4. Step 4: Simplify right side
    192,824x = 160,184,052,900
  5. Step 5: Solve for x
    x = 160,184,052,900/192,824
  6. Step 6: Final answer
    x = 830,726.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.