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Finding the Third Proportional to 92,347 and 198,485

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Solution

The third proportional to 92,347 and 198,485 is: 426,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,347 : 198,485 = 198,485 : x
  2. Step 2: Convert to fraction form
    92,347/198,485 = 198,485/x
  3. Step 3: Cross multiply
    92,347x = 198,485 × 198,485
  4. Step 4: Simplify right side
    92,347x = 39,396,295,225
  5. Step 5: Solve for x
    x = 39,396,295,225/92,347
  6. Step 6: Final answer
    x = 426,611.53

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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.