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Finding the Third Proportional to 141,662.25 and 308,247.75

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Solution

The third proportional to 141,662.25 and 308,247.75 is: 670,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,662.25 : 308,247.75 = 308,247.75 : x
  2. Step 2: Convert to fraction form
    141,662.25/308,247.75 = 308,247.75/x
  3. Step 3: Cross multiply
    141,662.25x = 308,247.75 × 308,247.75
  4. Step 4: Simplify right side
    141,662.25x = 95,016,675,380.06
  5. Step 5: Solve for x
    x = 95,016,675,380.06/141,662.25
  6. Step 6: Final answer
    x = 670,726.85

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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.