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Finding the Third Proportional to 143,609.75 and 201,243.13

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Solution

The third proportional to 143,609.75 and 201,243.13 is: 282,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,609.75 : 201,243.13 = 201,243.13 : x
  2. Step 2: Convert to fraction form
    143,609.75/201,243.13 = 201,243.13/x
  3. Step 3: Cross multiply
    143,609.75x = 201,243.13 × 201,243.13
  4. Step 4: Simplify right side
    143,609.75x = 40,498,795,359.77
  5. Step 5: Solve for x
    x = 40,498,795,359.77/143,609.75
  6. Step 6: Final answer
    x = 282,005.89

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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.