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Finding the Third Proportional to 143,608.75 and 201,241.75

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Solution

The third proportional to 143,608.75 and 201,241.75 is: 282,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,608.75 : 201,241.75 = 201,241.75 : x
  2. Step 2: Convert to fraction form
    143,608.75/201,241.75 = 201,241.75/x
  3. Step 3: Cross multiply
    143,608.75x = 201,241.75 × 201,241.75
  4. Step 4: Simplify right side
    143,608.75x = 40,498,241,943.06
  5. Step 5: Solve for x
    x = 40,498,241,943.06/143,608.75
  6. Step 6: Final answer
    x = 282,004.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.