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Finding the Third Proportional to 131,470.25 and 188,004

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Solution

The third proportional to 131,470.25 and 188,004 is: 268,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,470.25 : 188,004 = 188,004 : x
  2. Step 2: Convert to fraction form
    131,470.25/188,004 = 188,004/x
  3. Step 3: Cross multiply
    131,470.25x = 188,004 × 188,004
  4. Step 4: Simplify right side
    131,470.25x = 35,345,504,016
  5. Step 5: Solve for x
    x = 35,345,504,016/131,470.25
  6. Step 6: Final answer
    x = 268,847.93

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.