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Finding the Third Proportional to 198,062 and 427,686

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Solution

The third proportional to 198,062 and 427,686 is: 923,525.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,062 : 427,686 = 427,686 : x
  2. Step 2: Convert to fraction form
    198,062/427,686 = 427,686/x
  3. Step 3: Cross multiply
    198,062x = 427,686 × 427,686
  4. Step 4: Simplify right side
    198,062x = 182,915,314,596
  5. Step 5: Solve for x
    x = 182,915,314,596/198,062
  6. Step 6: Final answer
    x = 923,525.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.