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Finding the Third Proportional to 154,847 and 226,293

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Solution

The third proportional to 154,847 and 226,293 is: 330,704.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,847 : 226,293 = 226,293 : x
  2. Step 2: Convert to fraction form
    154,847/226,293 = 226,293/x
  3. Step 3: Cross multiply
    154,847x = 226,293 × 226,293
  4. Step 4: Simplify right side
    154,847x = 51,208,521,849
  5. Step 5: Solve for x
    x = 51,208,521,849/154,847
  6. Step 6: Final answer
    x = 330,704.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.