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Finding the Third Proportional to 184,758 and 397,141.50

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Solution

The third proportional to 184,758 and 397,141.50 is: 853,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,758 : 397,141.50 = 397,141.50 : x
  2. Step 2: Convert to fraction form
    184,758/397,141.50 = 397,141.50/x
  3. Step 3: Cross multiply
    184,758x = 397,141.50 × 397,141.50
  4. Step 4: Simplify right side
    184,758x = 157,721,371,022.25
  5. Step 5: Solve for x
    x = 157,721,371,022.25/184,758
  6. Step 6: Final answer
    x = 853,664.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.