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Finding the Third Proportional to 118,571.25 and 182,230.50

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Solution

The third proportional to 118,571.25 and 182,230.50 is: 280,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,571.25 : 182,230.50 = 182,230.50 : x
  2. Step 2: Convert to fraction form
    118,571.25/182,230.50 = 182,230.50/x
  3. Step 3: Cross multiply
    118,571.25x = 182,230.50 × 182,230.50
  4. Step 4: Simplify right side
    118,571.25x = 33,207,955,130.25
  5. Step 5: Solve for x
    x = 33,207,955,130.25/118,571.25
  6. Step 6: Final answer
    x = 280,067.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.