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Finding the Third Proportional to 127,183 and 276,236

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Solution

The third proportional to 127,183 and 276,236 is: 599,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,183 : 276,236 = 276,236 : x
  2. Step 2: Convert to fraction form
    127,183/276,236 = 276,236/x
  3. Step 3: Cross multiply
    127,183x = 276,236 × 276,236
  4. Step 4: Simplify right side
    127,183x = 76,306,327,696
  5. Step 5: Solve for x
    x = 76,306,327,696/127,183
  6. Step 6: Final answer
    x = 599,972.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.