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Finding the Third Proportional to 131,147 and 280,993

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Solution

The third proportional to 131,147 and 280,993 is: 602,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,147 : 280,993 = 280,993 : x
  2. Step 2: Convert to fraction form
    131,147/280,993 = 280,993/x
  3. Step 3: Cross multiply
    131,147x = 280,993 × 280,993
  4. Step 4: Simplify right side
    131,147x = 78,957,066,049
  5. Step 5: Solve for x
    x = 78,957,066,049/131,147
  6. Step 6: Final answer
    x = 602,050.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.