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Finding the Third Proportional to 166,176 and 264,168

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Solution

The third proportional to 166,176 and 264,168 is: 419,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,176 : 264,168 = 264,168 : x
  2. Step 2: Convert to fraction form
    166,176/264,168 = 264,168/x
  3. Step 3: Cross multiply
    166,176x = 264,168 × 264,168
  4. Step 4: Simplify right side
    166,176x = 69,784,732,224
  5. Step 5: Solve for x
    x = 69,784,732,224/166,176
  6. Step 6: Final answer
    x = 419,944.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.