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Finding the Third Proportional to 190,213.75 and 449,834.75

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Solution

The third proportional to 190,213.75 and 449,834.75 is: 1,063,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,213.75 : 449,834.75 = 449,834.75 : x
  2. Step 2: Convert to fraction form
    190,213.75/449,834.75 = 449,834.75/x
  3. Step 3: Cross multiply
    190,213.75x = 449,834.75 × 449,834.75
  4. Step 4: Simplify right side
    190,213.75x = 202,351,302,307.56
  5. Step 5: Solve for x
    x = 202,351,302,307.56/190,213.75
  6. Step 6: Final answer
    x = 1,063,810.07

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.