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Finding the Third Proportional to 82,326 and 176,923

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Solution

The third proportional to 82,326 and 176,923 is: 380,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,326 : 176,923 = 176,923 : x
  2. Step 2: Convert to fraction form
    82,326/176,923 = 176,923/x
  3. Step 3: Cross multiply
    82,326x = 176,923 × 176,923
  4. Step 4: Simplify right side
    82,326x = 31,301,747,929
  5. Step 5: Solve for x
    x = 31,301,747,929/82,326
  6. Step 6: Final answer
    x = 380,217.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.