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Finding the Third Proportional to 146,798 and 281,930

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Solution

The third proportional to 146,798 and 281,930 is: 541,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,798 : 281,930 = 281,930 : x
  2. Step 2: Convert to fraction form
    146,798/281,930 = 281,930/x
  3. Step 3: Cross multiply
    146,798x = 281,930 × 281,930
  4. Step 4: Simplify right side
    146,798x = 79,484,524,900
  5. Step 5: Solve for x
    x = 79,484,524,900/146,798
  6. Step 6: Final answer
    x = 541,455.09

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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.