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Finding the Third Proportional to 190,233.56 and 449,884.13

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Solution

The third proportional to 190,233.56 and 449,884.13 is: 1,063,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,233.56 : 449,884.13 = 449,884.13 : x
  2. Step 2: Convert to fraction form
    190,233.56/449,884.13 = 449,884.13/x
  3. Step 3: Cross multiply
    190,233.56x = 449,884.13 × 449,884.13
  4. Step 4: Simplify right side
    190,233.56x = 202,395,725,927.02
  5. Step 5: Solve for x
    x = 202,395,725,927.02/190,233.56
  6. Step 6: Final answer
    x = 1,063,932.80

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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.