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Finding the Third Proportional to 185,510.25 and 397,257.75

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Solution

The third proportional to 185,510.25 and 397,257.75 is: 850,700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,510.25 : 397,257.75 = 397,257.75 : x
  2. Step 2: Convert to fraction form
    185,510.25/397,257.75 = 397,257.75/x
  3. Step 3: Cross multiply
    185,510.25x = 397,257.75 × 397,257.75
  4. Step 4: Simplify right side
    185,510.25x = 157,813,719,935.06
  5. Step 5: Solve for x
    x = 157,813,719,935.06/185,510.25
  6. Step 6: Final answer
    x = 850,700.81

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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.