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Finding the Third Proportional to 92,318 and 198,676

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Solution

The third proportional to 92,318 and 198,676 is: 427,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,318 : 198,676 = 198,676 : x
  2. Step 2: Convert to fraction form
    92,318/198,676 = 198,676/x
  3. Step 3: Cross multiply
    92,318x = 198,676 × 198,676
  4. Step 4: Simplify right side
    92,318x = 39,472,152,976
  5. Step 5: Solve for x
    x = 39,472,152,976/92,318
  6. Step 6: Final answer
    x = 427,567.25

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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.