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Finding the Third Proportional to 146,794 and 281,924

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Solution

The third proportional to 146,794 and 281,924 is: 541,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,794 : 281,924 = 281,924 : x
  2. Step 2: Convert to fraction form
    146,794/281,924 = 281,924/x
  3. Step 3: Cross multiply
    146,794x = 281,924 × 281,924
  4. Step 4: Simplify right side
    146,794x = 79,481,141,776
  5. Step 5: Solve for x
    x = 79,481,141,776/146,794
  6. Step 6: Final answer
    x = 541,446.80

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.