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Finding the Third Proportional to 92,315.25 and 198,756

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Solution

The third proportional to 92,315.25 and 198,756 is: 427,924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,315.25 : 198,756 = 198,756 : x
  2. Step 2: Convert to fraction form
    92,315.25/198,756 = 198,756/x
  3. Step 3: Cross multiply
    92,315.25x = 198,756 × 198,756
  4. Step 4: Simplify right side
    92,315.25x = 39,503,947,536
  5. Step 5: Solve for x
    x = 39,503,947,536/92,315.25
  6. Step 6: Final answer
    x = 427,924.40

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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.