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Finding the Third Proportional to 182,325 and 276,003

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Solution

The third proportional to 182,325 and 276,003 is: 417,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,325 : 276,003 = 276,003 : x
  2. Step 2: Convert to fraction form
    182,325/276,003 = 276,003/x
  3. Step 3: Cross multiply
    182,325x = 276,003 × 276,003
  4. Step 4: Simplify right side
    182,325x = 76,177,656,009
  5. Step 5: Solve for x
    x = 76,177,656,009/182,325
  6. Step 6: Final answer
    x = 417,812.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.