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Finding the Third Proportional to 146,947 and 300,120

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Solution

The third proportional to 146,947 and 300,120 is: 612,955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,947 : 300,120 = 300,120 : x
  2. Step 2: Convert to fraction form
    146,947/300,120 = 300,120/x
  3. Step 3: Cross multiply
    146,947x = 300,120 × 300,120
  4. Step 4: Simplify right side
    146,947x = 90,072,014,400
  5. Step 5: Solve for x
    x = 90,072,014,400/146,947
  6. Step 6: Final answer
    x = 612,955.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.