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Finding the Third Proportional to 105,844 and 226,245

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Solution

The third proportional to 105,844 and 226,245 is: 483,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,844 : 226,245 = 226,245 : x
  2. Step 2: Convert to fraction form
    105,844/226,245 = 226,245/x
  3. Step 3: Cross multiply
    105,844x = 226,245 × 226,245
  4. Step 4: Simplify right side
    105,844x = 51,186,800,025
  5. Step 5: Solve for x
    x = 51,186,800,025/105,844
  6. Step 6: Final answer
    x = 483,606.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.