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Finding the Third Proportional to 163,803 and 220,116

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Solution

The third proportional to 163,803 and 220,116 is: 295,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,803 : 220,116 = 220,116 : x
  2. Step 2: Convert to fraction form
    163,803/220,116 = 220,116/x
  3. Step 3: Cross multiply
    163,803x = 220,116 × 220,116
  4. Step 4: Simplify right side
    163,803x = 48,451,053,456
  5. Step 5: Solve for x
    x = 48,451,053,456/163,803
  6. Step 6: Final answer
    x = 295,788.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.