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Finding the Third Proportional to 197,055 and 423,675

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Solution

The third proportional to 197,055 and 423,675 is: 910,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,055 : 423,675 = 423,675 : x
  2. Step 2: Convert to fraction form
    197,055/423,675 = 423,675/x
  3. Step 3: Cross multiply
    197,055x = 423,675 × 423,675
  4. Step 4: Simplify right side
    197,055x = 179,500,505,625
  5. Step 5: Solve for x
    x = 179,500,505,625/197,055
  6. Step 6: Final answer
    x = 910,915.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.