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Finding the Third Proportional to 148,947 and 324,100

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Solution

The third proportional to 148,947 and 324,100 is: 705,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,947 : 324,100 = 324,100 : x
  2. Step 2: Convert to fraction form
    148,947/324,100 = 324,100/x
  3. Step 3: Cross multiply
    148,947x = 324,100 × 324,100
  4. Step 4: Simplify right side
    148,947x = 105,040,810,000
  5. Step 5: Solve for x
    x = 105,040,810,000/148,947
  6. Step 6: Final answer
    x = 705,222.73

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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.