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Finding the Third Proportional to 176,325.75 and 416,169.75

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Solution

The third proportional to 176,325.75 and 416,169.75 is: 982,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,325.75 : 416,169.75 = 416,169.75 : x
  2. Step 2: Convert to fraction form
    176,325.75/416,169.75 = 416,169.75/x
  3. Step 3: Cross multiply
    176,325.75x = 416,169.75 × 416,169.75
  4. Step 4: Simplify right side
    176,325.75x = 173,197,260,815.06
  5. Step 5: Solve for x
    x = 173,197,260,815.06/176,325.75
  6. Step 6: Final answer
    x = 982,257.33

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