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Finding the Third Proportional to 182,344 and 276,025

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Solution

The third proportional to 182,344 and 276,025 is: 417,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,344 : 276,025 = 276,025 : x
  2. Step 2: Convert to fraction form
    182,344/276,025 = 276,025/x
  3. Step 3: Cross multiply
    182,344x = 276,025 × 276,025
  4. Step 4: Simplify right side
    182,344x = 76,189,800,625
  5. Step 5: Solve for x
    x = 76,189,800,625/182,344
  6. Step 6: Final answer
    x = 417,835.52

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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.