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Finding the Third Proportional to 163,863 and 200,799

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Solution

The third proportional to 163,863 and 200,799 is: 246,060.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,863 : 200,799 = 200,799 : x
  2. Step 2: Convert to fraction form
    163,863/200,799 = 200,799/x
  3. Step 3: Cross multiply
    163,863x = 200,799 × 200,799
  4. Step 4: Simplify right side
    163,863x = 40,320,238,401
  5. Step 5: Solve for x
    x = 40,320,238,401/163,863
  6. Step 6: Final answer
    x = 246,060.66

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.