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Finding the Third Proportional to 103,670 and 226,819

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Solution

The third proportional to 103,670 and 226,819 is: 496,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 226,819 = 226,819 : x
  2. Step 2: Convert to fraction form
    103,670/226,819 = 226,819/x
  3. Step 3: Cross multiply
    103,670x = 226,819 × 226,819
  4. Step 4: Simplify right side
    103,670x = 51,446,858,761
  5. Step 5: Solve for x
    x = 51,446,858,761/103,670
  6. Step 6: Final answer
    x = 496,255.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.