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Finding the Third Proportional to 103,416.75 and 226,212.75

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Solution

The third proportional to 103,416.75 and 226,212.75 is: 494,815.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416.75 : 226,212.75 = 226,212.75 : x
  2. Step 2: Convert to fraction form
    103,416.75/226,212.75 = 226,212.75/x
  3. Step 3: Cross multiply
    103,416.75x = 226,212.75 × 226,212.75
  4. Step 4: Simplify right side
    103,416.75x = 51,172,208,262.56
  5. Step 5: Solve for x
    x = 51,172,208,262.56/103,416.75
  6. Step 6: Final answer
    x = 494,815.47

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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.