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Finding the Third Proportional to 146,104 and 311,036

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Solution

The third proportional to 146,104 and 311,036 is: 662,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,104 : 311,036 = 311,036 : x
  2. Step 2: Convert to fraction form
    146,104/311,036 = 311,036/x
  3. Step 3: Cross multiply
    146,104x = 311,036 × 311,036
  4. Step 4: Simplify right side
    146,104x = 96,743,393,296
  5. Step 5: Solve for x
    x = 96,743,393,296/146,104
  6. Step 6: Final answer
    x = 662,154.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.