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Finding the Third Proportional to 166,768 and 362,912

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Solution

The third proportional to 166,768 and 362,912 is: 789,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,768 : 362,912 = 362,912 : x
  2. Step 2: Convert to fraction form
    166,768/362,912 = 362,912/x
  3. Step 3: Cross multiply
    166,768x = 362,912 × 362,912
  4. Step 4: Simplify right side
    166,768x = 131,705,119,744
  5. Step 5: Solve for x
    x = 131,705,119,744/166,768
  6. Step 6: Final answer
    x = 789,750.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.