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Finding the Third Proportional to 182,326 and 276,007

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Solution

The third proportional to 182,326 and 276,007 is: 417,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,326 : 276,007 = 276,007 : x
  2. Step 2: Convert to fraction form
    182,326/276,007 = 276,007/x
  3. Step 3: Cross multiply
    182,326x = 276,007 × 276,007
  4. Step 4: Simplify right side
    182,326x = 76,179,864,049
  5. Step 5: Solve for x
    x = 76,179,864,049/182,326
  6. Step 6: Final answer
    x = 417,822.27

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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.