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Finding the Third Proportional to 161,667 and 244,738.50

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Solution

The third proportional to 161,667 and 244,738.50 is: 370,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,667 : 244,738.50 = 244,738.50 : x
  2. Step 2: Convert to fraction form
    161,667/244,738.50 = 244,738.50/x
  3. Step 3: Cross multiply
    161,667x = 244,738.50 × 244,738.50
  4. Step 4: Simplify right side
    161,667x = 59,896,933,382.25
  5. Step 5: Solve for x
    x = 59,896,933,382.25/161,667
  6. Step 6: Final answer
    x = 370,495.73

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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.