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Finding the Third Proportional to 200,175 and 435,198

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Solution

The third proportional to 200,175 and 435,198 is: 946,158.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,175 : 435,198 = 435,198 : x
  2. Step 2: Convert to fraction form
    200,175/435,198 = 435,198/x
  3. Step 3: Cross multiply
    200,175x = 435,198 × 435,198
  4. Step 4: Simplify right side
    200,175x = 189,397,299,204
  5. Step 5: Solve for x
    x = 189,397,299,204/200,175
  6. Step 6: Final answer
    x = 946,158.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.