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Finding the Third Proportional to 185,658.75 and 270,550.13

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Solution

The third proportional to 185,658.75 and 270,550.13 is: 394,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,658.75 : 270,550.13 = 270,550.13 : x
  2. Step 2: Convert to fraction form
    185,658.75/270,550.13 = 270,550.13/x
  3. Step 3: Cross multiply
    185,658.75x = 270,550.13 × 270,550.13
  4. Step 4: Simplify right side
    185,658.75x = 73,197,370,137.52
  5. Step 5: Solve for x
    x = 73,197,370,137.52/185,658.75
  6. Step 6: Final answer
    x = 394,257.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.