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Finding the Third Proportional to 154,843 and 226,288

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Solution

The third proportional to 154,843 and 226,288 is: 330,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,843 : 226,288 = 226,288 : x
  2. Step 2: Convert to fraction form
    154,843/226,288 = 226,288/x
  3. Step 3: Cross multiply
    154,843x = 226,288 × 226,288
  4. Step 4: Simplify right side
    154,843x = 51,206,258,944
  5. Step 5: Solve for x
    x = 51,206,258,944/154,843
  6. Step 6: Final answer
    x = 330,697.93

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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.