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Finding the Third Proportional to 197,568 and 298,056

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Solution

The third proportional to 197,568 and 298,056 is: 449,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,568 : 298,056 = 298,056 : x
  2. Step 2: Convert to fraction form
    197,568/298,056 = 298,056/x
  3. Step 3: Cross multiply
    197,568x = 298,056 × 298,056
  4. Step 4: Simplify right side
    197,568x = 88,837,379,136
  5. Step 5: Solve for x
    x = 88,837,379,136/197,568
  6. Step 6: Final answer
    x = 449,654.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.