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Finding the Third Proportional to 105,923 and 220,558

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Solution

The third proportional to 105,923 and 220,558 is: 459,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,923 : 220,558 = 220,558 : x
  2. Step 2: Convert to fraction form
    105,923/220,558 = 220,558/x
  3. Step 3: Cross multiply
    105,923x = 220,558 × 220,558
  4. Step 4: Simplify right side
    105,923x = 48,645,831,364
  5. Step 5: Solve for x
    x = 48,645,831,364/105,923
  6. Step 6: Final answer
    x = 459,256.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.