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Finding the Third Proportional to 174,867 and 270,015

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Solution

The third proportional to 174,867 and 270,015 is: 416,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,867 : 270,015 = 270,015 : x
  2. Step 2: Convert to fraction form
    174,867/270,015 = 270,015/x
  3. Step 3: Cross multiply
    174,867x = 270,015 × 270,015
  4. Step 4: Simplify right side
    174,867x = 72,908,100,225
  5. Step 5: Solve for x
    x = 72,908,100,225/174,867
  6. Step 6: Final answer
    x = 416,934.59

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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.