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Finding the Third Proportional to 195,270 and 426,180

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Solution

The third proportional to 195,270 and 426,180 is: 930,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,270 : 426,180 = 426,180 : x
  2. Step 2: Convert to fraction form
    195,270/426,180 = 426,180/x
  3. Step 3: Cross multiply
    195,270x = 426,180 × 426,180
  4. Step 4: Simplify right side
    195,270x = 181,629,392,400
  5. Step 5: Solve for x
    x = 181,629,392,400/195,270
  6. Step 6: Final answer
    x = 930,144.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.