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Finding the Third Proportional to 185,519.25 and 397,273.50

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Solution

The third proportional to 185,519.25 and 397,273.50 is: 850,726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,519.25 : 397,273.50 = 397,273.50 : x
  2. Step 2: Convert to fraction form
    185,519.25/397,273.50 = 397,273.50/x
  3. Step 3: Cross multiply
    185,519.25x = 397,273.50 × 397,273.50
  4. Step 4: Simplify right side
    185,519.25x = 157,826,233,802.25
  5. Step 5: Solve for x
    x = 157,826,233,802.25/185,519.25
  6. Step 6: Final answer
    x = 850,726.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.