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Finding the Third Proportional to 182,832 and 276,196

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Solution

The third proportional to 182,832 and 276,196 is: 417,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,832 : 276,196 = 276,196 : x
  2. Step 2: Convert to fraction form
    182,832/276,196 = 276,196/x
  3. Step 3: Cross multiply
    182,832x = 276,196 × 276,196
  4. Step 4: Simplify right side
    182,832x = 76,284,230,416
  5. Step 5: Solve for x
    x = 76,284,230,416/182,832
  6. Step 6: Final answer
    x = 417,236.76

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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.