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Finding the Third Proportional to 128,978 and 280,981

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Solution

The third proportional to 128,978 and 280,981 is: 612,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,978 : 280,981 = 280,981 : x
  2. Step 2: Convert to fraction form
    128,978/280,981 = 280,981/x
  3. Step 3: Cross multiply
    128,978x = 280,981 × 280,981
  4. Step 4: Simplify right side
    128,978x = 78,950,322,361
  5. Step 5: Solve for x
    x = 78,950,322,361/128,978
  6. Step 6: Final answer
    x = 612,122.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.