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Finding the Third Proportional to 193,667 and 419,492

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Solution

The third proportional to 193,667 and 419,492 is: 908,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,667 : 419,492 = 419,492 : x
  2. Step 2: Convert to fraction form
    193,667/419,492 = 419,492/x
  3. Step 3: Cross multiply
    193,667x = 419,492 × 419,492
  4. Step 4: Simplify right side
    193,667x = 175,973,538,064
  5. Step 5: Solve for x
    x = 175,973,538,064/193,667
  6. Step 6: Final answer
    x = 908,639.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.