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Finding the Third Proportional to 209,811.75 and 449,072.25

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Solution

The third proportional to 209,811.75 and 449,072.25 is: 961,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,811.75 : 449,072.25 = 449,072.25 : x
  2. Step 2: Convert to fraction form
    209,811.75/449,072.25 = 449,072.25/x
  3. Step 3: Cross multiply
    209,811.75x = 449,072.25 × 449,072.25
  4. Step 4: Simplify right side
    209,811.75x = 201,665,885,720.06
  5. Step 5: Solve for x
    x = 201,665,885,720.06/209,811.75
  6. Step 6: Final answer
    x = 961,175.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.