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Finding the Third Proportional to 190,584.94 and 254,078.44

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Solution

The third proportional to 190,584.94 and 254,078.44 is: 338,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,584.94 : 254,078.44 = 254,078.44 : x
  2. Step 2: Convert to fraction form
    190,584.94/254,078.44 = 254,078.44/x
  3. Step 3: Cross multiply
    190,584.94x = 254,078.44 × 254,078.44
  4. Step 4: Simplify right side
    190,584.94x = 64,555,852,402.44
  5. Step 5: Solve for x
    x = 64,555,852,402.44/190,584.94
  6. Step 6: Final answer
    x = 338,724.84

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.