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Finding the Third Proportional to 190,238.25 and 449,895.75

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Solution

The third proportional to 190,238.25 and 449,895.75 is: 1,063,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,238.25 : 449,895.75 = 449,895.75 : x
  2. Step 2: Convert to fraction form
    190,238.25/449,895.75 = 449,895.75/x
  3. Step 3: Cross multiply
    190,238.25x = 449,895.75 × 449,895.75
  4. Step 4: Simplify right side
    190,238.25x = 202,406,185,868.06
  5. Step 5: Solve for x
    x = 202,406,185,868.06/190,238.25
  6. Step 6: Final answer
    x = 1,063,961.56

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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.