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Finding the Third Proportional to 204,241.50 and 314,975.25

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Solution

The third proportional to 204,241.50 and 314,975.25 is: 485,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,241.50 : 314,975.25 = 314,975.25 : x
  2. Step 2: Convert to fraction form
    204,241.50/314,975.25 = 314,975.25/x
  3. Step 3: Cross multiply
    204,241.50x = 314,975.25 × 314,975.25
  4. Step 4: Simplify right side
    204,241.50x = 99,209,408,112.56
  5. Step 5: Solve for x
    x = 99,209,408,112.56/204,241.50
  6. Step 6: Final answer
    x = 485,745.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.