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Finding the Third Proportional to 146,958 and 300,138

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Solution

The third proportional to 146,958 and 300,138 is: 612,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,958 : 300,138 = 300,138 : x
  2. Step 2: Convert to fraction form
    146,958/300,138 = 300,138/x
  3. Step 3: Cross multiply
    146,958x = 300,138 × 300,138
  4. Step 4: Simplify right side
    146,958x = 90,082,819,044
  5. Step 5: Solve for x
    x = 90,082,819,044/146,958
  6. Step 6: Final answer
    x = 612,983.43

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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.