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Finding the Third Proportional to 163,806 and 220,119

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Solution

The third proportional to 163,806 and 220,119 is: 295,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,806 : 220,119 = 220,119 : x
  2. Step 2: Convert to fraction form
    163,806/220,119 = 220,119/x
  3. Step 3: Cross multiply
    163,806x = 220,119 × 220,119
  4. Step 4: Simplify right side
    163,806x = 48,452,374,161
  5. Step 5: Solve for x
    x = 48,452,374,161/163,806
  6. Step 6: Final answer
    x = 295,791.21

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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.