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Finding the Third Proportional to 196,936 and 295,328

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Solution

The third proportional to 196,936 and 295,328 is: 442,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,936 : 295,328 = 295,328 : x
  2. Step 2: Convert to fraction form
    196,936/295,328 = 295,328/x
  3. Step 3: Cross multiply
    196,936x = 295,328 × 295,328
  4. Step 4: Simplify right side
    196,936x = 87,218,627,584
  5. Step 5: Solve for x
    x = 87,218,627,584/196,936
  6. Step 6: Final answer
    x = 442,878.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.