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Finding the Third Proportional to 146,948 and 300,122

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Solution

The third proportional to 146,948 and 300,122 is: 612,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,948 : 300,122 = 300,122 : x
  2. Step 2: Convert to fraction form
    146,948/300,122 = 300,122/x
  3. Step 3: Cross multiply
    146,948x = 300,122 × 300,122
  4. Step 4: Simplify right side
    146,948x = 90,073,214,884
  5. Step 5: Solve for x
    x = 90,073,214,884/146,948
  6. Step 6: Final answer
    x = 612,959.79

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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.