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Finding the Third Proportional to 163,824 and 246,894

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Solution

The third proportional to 163,824 and 246,894 is: 372,086.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,824 : 246,894 = 246,894 : x
  2. Step 2: Convert to fraction form
    163,824/246,894 = 246,894/x
  3. Step 3: Cross multiply
    163,824x = 246,894 × 246,894
  4. Step 4: Simplify right side
    163,824x = 60,956,647,236
  5. Step 5: Solve for x
    x = 60,956,647,236/163,824
  6. Step 6: Final answer
    x = 372,086.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.