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Finding the Third Proportional to 163,830 and 220,194

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Solution

The third proportional to 163,830 and 220,194 is: 295,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,830 : 220,194 = 220,194 : x
  2. Step 2: Convert to fraction form
    163,830/220,194 = 220,194/x
  3. Step 3: Cross multiply
    163,830x = 220,194 × 220,194
  4. Step 4: Simplify right side
    163,830x = 48,485,397,636
  5. Step 5: Solve for x
    x = 48,485,397,636/163,830
  6. Step 6: Final answer
    x = 295,949.45

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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.