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Finding the Third Proportional to 201,163.50 and 438,399

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Solution

The third proportional to 201,163.50 and 438,399 is: 955,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.50 : 438,399 = 438,399 : x
  2. Step 2: Convert to fraction form
    201,163.50/438,399 = 438,399/x
  3. Step 3: Cross multiply
    201,163.50x = 438,399 × 438,399
  4. Step 4: Simplify right side
    201,163.50x = 192,193,683,201
  5. Step 5: Solve for x
    x = 192,193,683,201/201,163.50
  6. Step 6: Final answer
    x = 955,410.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.