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Finding the Third Proportional to 166,236.75 and 324,164.25

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Solution

The third proportional to 166,236.75 and 324,164.25 is: 632,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,236.75 : 324,164.25 = 324,164.25 : x
  2. Step 2: Convert to fraction form
    166,236.75/324,164.25 = 324,164.25/x
  3. Step 3: Cross multiply
    166,236.75x = 324,164.25 × 324,164.25
  4. Step 4: Simplify right side
    166,236.75x = 105,082,460,978.06
  5. Step 5: Solve for x
    x = 105,082,460,978.06/166,236.75
  6. Step 6: Final answer
    x = 632,125.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.