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Finding the Third Proportional to 183,081.94 and 277,204.78

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Solution

The third proportional to 183,081.94 and 277,204.78 is: 419,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,081.94 : 277,204.78 = 277,204.78 : x
  2. Step 2: Convert to fraction form
    183,081.94/277,204.78 = 277,204.78/x
  3. Step 3: Cross multiply
    183,081.94x = 277,204.78 × 277,204.78
  4. Step 4: Simplify right side
    183,081.94x = 76,842,490,747.86
  5. Step 5: Solve for x
    x = 76,842,490,747.86/183,081.94
  6. Step 6: Final answer
    x = 419,716.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.