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Finding the Third Proportional to 181,879.50 and 396,798

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Solution

The third proportional to 181,879.50 and 396,798 is: 865,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,879.50 : 396,798 = 396,798 : x
  2. Step 2: Convert to fraction form
    181,879.50/396,798 = 396,798/x
  3. Step 3: Cross multiply
    181,879.50x = 396,798 × 396,798
  4. Step 4: Simplify right side
    181,879.50x = 157,448,652,804
  5. Step 5: Solve for x
    x = 157,448,652,804/181,879.50
  6. Step 6: Final answer
    x = 865,675.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.