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Finding the Third Proportional to 200,745.56 and 295,571.81

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Solution

The third proportional to 200,745.56 and 295,571.81 is: 435,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745.56 : 295,571.81 = 295,571.81 : x
  2. Step 2: Convert to fraction form
    200,745.56/295,571.81 = 295,571.81/x
  3. Step 3: Cross multiply
    200,745.56x = 295,571.81 × 295,571.81
  4. Step 4: Simplify right side
    200,745.56x = 87,362,696,344.54
  5. Step 5: Solve for x
    x = 87,362,696,344.54/200,745.56
  6. Step 6: Final answer
    x = 435,191.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.