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Finding the Third Proportional to 168,198 and 358,196

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Solution

The third proportional to 168,198 and 358,196 is: 762,817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,198 : 358,196 = 358,196 : x
  2. Step 2: Convert to fraction form
    168,198/358,196 = 358,196/x
  3. Step 3: Cross multiply
    168,198x = 358,196 × 358,196
  4. Step 4: Simplify right side
    168,198x = 128,304,374,416
  5. Step 5: Solve for x
    x = 128,304,374,416/168,198
  6. Step 6: Final answer
    x = 762,817.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.