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Finding the Third Proportional to 190,178.25 and 296,172.38

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Solution

The third proportional to 190,178.25 and 296,172.38 is: 461,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,178.25 : 296,172.38 = 296,172.38 : x
  2. Step 2: Convert to fraction form
    190,178.25/296,172.38 = 296,172.38/x
  3. Step 3: Cross multiply
    190,178.25x = 296,172.38 × 296,172.38
  4. Step 4: Simplify right side
    190,178.25x = 87,718,075,713.14
  5. Step 5: Solve for x
    x = 87,718,075,713.14/190,178.25
  6. Step 6: Final answer
    x = 461,241.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.