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Finding the Third Proportional to 186,329.75 and 402,163.75

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Solution

The third proportional to 186,329.75 and 402,163.75 is: 868,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,329.75 : 402,163.75 = 402,163.75 : x
  2. Step 2: Convert to fraction form
    186,329.75/402,163.75 = 402,163.75/x
  3. Step 3: Cross multiply
    186,329.75x = 402,163.75 × 402,163.75
  4. Step 4: Simplify right side
    186,329.75x = 161,735,681,814.06
  5. Step 5: Solve for x
    x = 161,735,681,814.06/186,329.75
  6. Step 6: Final answer
    x = 868,007.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.