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Finding the Third Proportional to 184,087.69 and 384,934.78

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Solution

The third proportional to 184,087.69 and 384,934.78 is: 804,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,087.69 : 384,934.78 = 384,934.78 : x
  2. Step 2: Convert to fraction form
    184,087.69/384,934.78 = 384,934.78/x
  3. Step 3: Cross multiply
    184,087.69x = 384,934.78 × 384,934.78
  4. Step 4: Simplify right side
    184,087.69x = 148,174,785,815.99
  5. Step 5: Solve for x
    x = 148,174,785,815.99/184,087.69
  6. Step 6: Final answer
    x = 804,914.16

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.