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Finding the Third Proportional to 205,365.75 and 449,381.25

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Solution

The third proportional to 205,365.75 and 449,381.25 is: 983,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,365.75 : 449,381.25 = 449,381.25 : x
  2. Step 2: Convert to fraction form
    205,365.75/449,381.25 = 449,381.25/x
  3. Step 3: Cross multiply
    205,365.75x = 449,381.25 × 449,381.25
  4. Step 4: Simplify right side
    205,365.75x = 201,943,507,851.56
  5. Step 5: Solve for x
    x = 201,943,507,851.56/205,365.75
  6. Step 6: Final answer
    x = 983,335.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.