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Finding the Third Proportional to 128,182 and 276,086

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Solution

The third proportional to 128,182 and 276,086 is: 594,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,182 : 276,086 = 276,086 : x
  2. Step 2: Convert to fraction form
    128,182/276,086 = 276,086/x
  3. Step 3: Cross multiply
    128,182x = 276,086 × 276,086
  4. Step 4: Simplify right side
    128,182x = 76,223,479,396
  5. Step 5: Solve for x
    x = 76,223,479,396/128,182
  6. Step 6: Final answer
    x = 594,650.41

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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.