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Finding the Third Proportional to 146,482 and 304,626

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Solution

The third proportional to 146,482 and 304,626 is: 633,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,482 : 304,626 = 304,626 : x
  2. Step 2: Convert to fraction form
    146,482/304,626 = 304,626/x
  3. Step 3: Cross multiply
    146,482x = 304,626 × 304,626
  4. Step 4: Simplify right side
    146,482x = 92,796,999,876
  5. Step 5: Solve for x
    x = 92,796,999,876/146,482
  6. Step 6: Final answer
    x = 633,504.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.