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Finding the Third Proportional to 97,500 and 198,456

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Solution

The third proportional to 97,500 and 198,456 is: 403,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,500 : 198,456 = 198,456 : x
  2. Step 2: Convert to fraction form
    97,500/198,456 = 198,456/x
  3. Step 3: Cross multiply
    97,500x = 198,456 × 198,456
  4. Step 4: Simplify right side
    97,500x = 39,384,783,936
  5. Step 5: Solve for x
    x = 39,384,783,936/97,500
  6. Step 6: Final answer
    x = 403,946.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.