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Finding the Third Proportional to 190,667.67 and 410,856.05

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Solution

The third proportional to 190,667.67 and 410,856.05 is: 885,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,667.67 : 410,856.05 = 410,856.05 : x
  2. Step 2: Convert to fraction form
    190,667.67/410,856.05 = 410,856.05/x
  3. Step 3: Cross multiply
    190,667.67x = 410,856.05 × 410,856.05
  4. Step 4: Simplify right side
    190,667.67x = 168,802,691,253.75
  5. Step 5: Solve for x
    x = 168,802,691,253.75/190,667.67
  6. Step 6: Final answer
    x = 885,324.13

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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.