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Finding the Third Proportional to 166,764 and 362,904

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Solution

The third proportional to 166,764 and 362,904 is: 789,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,764 : 362,904 = 362,904 : x
  2. Step 2: Convert to fraction form
    166,764/362,904 = 362,904/x
  3. Step 3: Cross multiply
    166,764x = 362,904 × 362,904
  4. Step 4: Simplify right side
    166,764x = 131,699,313,216
  5. Step 5: Solve for x
    x = 131,699,313,216/166,764
  6. Step 6: Final answer
    x = 789,734.67

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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.