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Finding the Third Proportional to 143,996 and 202,689

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Solution

The third proportional to 143,996 and 202,689 is: 285,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,996 : 202,689 = 202,689 : x
  2. Step 2: Convert to fraction form
    143,996/202,689 = 202,689/x
  3. Step 3: Cross multiply
    143,996x = 202,689 × 202,689
  4. Step 4: Simplify right side
    143,996x = 41,082,830,721
  5. Step 5: Solve for x
    x = 41,082,830,721/143,996
  6. Step 6: Final answer
    x = 285,305.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.