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Finding the Third Proportional to 190,220.50 and 449,851

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Solution

The third proportional to 190,220.50 and 449,851 is: 1,063,849.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,220.50 : 449,851 = 449,851 : x
  2. Step 2: Convert to fraction form
    190,220.50/449,851 = 449,851/x
  3. Step 3: Cross multiply
    190,220.50x = 449,851 × 449,851
  4. Step 4: Simplify right side
    190,220.50x = 202,365,922,201
  5. Step 5: Solve for x
    x = 202,365,922,201/190,220.50
  6. Step 6: Final answer
    x = 1,063,849.18

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Why These Related Problems?

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