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Finding the Third Proportional to 163,795.50 and 220,104.75

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Solution

The third proportional to 163,795.50 and 220,104.75 is: 295,771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,795.50 : 220,104.75 = 220,104.75 : x
  2. Step 2: Convert to fraction form
    163,795.50/220,104.75 = 220,104.75/x
  3. Step 3: Cross multiply
    163,795.50x = 220,104.75 × 220,104.75
  4. Step 4: Simplify right side
    163,795.50x = 48,446,100,972.56
  5. Step 5: Solve for x
    x = 48,446,100,972.56/163,795.50
  6. Step 6: Final answer
    x = 295,771.87

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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.