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Finding the Third Proportional to 205,767.75 and 449,241

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Solution

The third proportional to 205,767.75 and 449,241 is: 980,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,767.75 : 449,241 = 449,241 : x
  2. Step 2: Convert to fraction form
    205,767.75/449,241 = 449,241/x
  3. Step 3: Cross multiply
    205,767.75x = 449,241 × 449,241
  4. Step 4: Simplify right side
    205,767.75x = 201,817,476,081
  5. Step 5: Solve for x
    x = 201,817,476,081/205,767.75
  6. Step 6: Final answer
    x = 980,802.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.