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Finding the Third Proportional to 176,326 and 416,171

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Solution

The third proportional to 176,326 and 416,171 is: 982,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,326 : 416,171 = 416,171 : x
  2. Step 2: Convert to fraction form
    176,326/416,171 = 416,171/x
  3. Step 3: Cross multiply
    176,326x = 416,171 × 416,171
  4. Step 4: Simplify right side
    176,326x = 173,198,301,241
  5. Step 5: Solve for x
    x = 173,198,301,241/176,326
  6. Step 6: Final answer
    x = 982,261.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.