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Finding the Third Proportional to 143,993 and 202,685

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Solution

The third proportional to 143,993 and 202,685 is: 285,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,993 : 202,685 = 202,685 : x
  2. Step 2: Convert to fraction form
    143,993/202,685 = 202,685/x
  3. Step 3: Cross multiply
    143,993x = 202,685 × 202,685
  4. Step 4: Simplify right side
    143,993x = 41,081,209,225
  5. Step 5: Solve for x
    x = 41,081,209,225/143,993
  6. Step 6: Final answer
    x = 285,300.04

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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.