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Finding the Third Proportional to 143,613 and 201,241.97

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Solution

The third proportional to 143,613 and 201,241.97 is: 281,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,613 : 201,241.97 = 201,241.97 : x
  2. Step 2: Convert to fraction form
    143,613/201,241.97 = 201,241.97/x
  3. Step 3: Cross multiply
    143,613x = 201,241.97 × 201,241.97
  4. Step 4: Simplify right side
    143,613x = 40,498,329,986.38
  5. Step 5: Solve for x
    x = 40,498,329,986.38/143,613
  6. Step 6: Final answer
    x = 281,996.27

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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.