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Finding the Third Proportional to 179,961.75 and 416,622.38

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Solution

The third proportional to 179,961.75 and 416,622.38 is: 964,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,961.75 : 416,622.38 = 416,622.38 : x
  2. Step 2: Convert to fraction form
    179,961.75/416,622.38 = 416,622.38/x
  3. Step 3: Cross multiply
    179,961.75x = 416,622.38 × 416,622.38
  4. Step 4: Simplify right side
    179,961.75x = 173,574,203,350.64
  5. Step 5: Solve for x
    x = 173,574,203,350.64/179,961.75
  6. Step 6: Final answer
    x = 964,506.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.