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Finding the Third Proportional to 128,796 and 276,635

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Solution

The third proportional to 128,796 and 276,635 is: 594,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,796 : 276,635 = 276,635 : x
  2. Step 2: Convert to fraction form
    128,796/276,635 = 276,635/x
  3. Step 3: Cross multiply
    128,796x = 276,635 × 276,635
  4. Step 4: Simplify right side
    128,796x = 76,526,923,225
  5. Step 5: Solve for x
    x = 76,526,923,225/128,796
  6. Step 6: Final answer
    x = 594,171.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.