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Finding the Third Proportional to 143,912 and 201,801

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Solution

The third proportional to 143,912 and 201,801 is: 282,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,912 : 201,801 = 201,801 : x
  2. Step 2: Convert to fraction form
    143,912/201,801 = 201,801/x
  3. Step 3: Cross multiply
    143,912x = 201,801 × 201,801
  4. Step 4: Simplify right side
    143,912x = 40,723,643,601
  5. Step 5: Solve for x
    x = 40,723,643,601/143,912
  6. Step 6: Final answer
    x = 282,976.01

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Why These Related Problems?

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