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Finding the Third Proportional to 174,867.19 and 270,028.69

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Solution

The third proportional to 174,867.19 and 270,028.69 is: 416,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,867.19 : 270,028.69 = 270,028.69 : x
  2. Step 2: Convert to fraction form
    174,867.19/270,028.69 = 270,028.69/x
  3. Step 3: Cross multiply
    174,867.19x = 270,028.69 × 270,028.69
  4. Step 4: Simplify right side
    174,867.19x = 72,915,492,072.97
  5. Step 5: Solve for x
    x = 72,915,492,072.97/174,867.19
  6. Step 6: Final answer
    x = 416,976.41

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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.