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Finding the Third Proportional to 168,538 and 370,970

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Solution

The third proportional to 168,538 and 370,970 is: 816,544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,538 : 370,970 = 370,970 : x
  2. Step 2: Convert to fraction form
    168,538/370,970 = 370,970/x
  3. Step 3: Cross multiply
    168,538x = 370,970 × 370,970
  4. Step 4: Simplify right side
    168,538x = 137,618,740,900
  5. Step 5: Solve for x
    x = 137,618,740,900/168,538
  6. Step 6: Final answer
    x = 816,544.29

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.