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Finding the Third Proportional to 104,994 and 226,572.75

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Solution

The third proportional to 104,994 and 226,572.75 is: 488,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,994 : 226,572.75 = 226,572.75 : x
  2. Step 2: Convert to fraction form
    104,994/226,572.75 = 226,572.75/x
  3. Step 3: Cross multiply
    104,994x = 226,572.75 × 226,572.75
  4. Step 4: Simplify right side
    104,994x = 51,335,211,042.56
  5. Step 5: Solve for x
    x = 51,335,211,042.56/104,994
  6. Step 6: Final answer
    x = 488,934.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.