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Finding the Third Proportional to 168,498 and 368,703

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Solution

The third proportional to 168,498 and 368,703 is: 806,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,498 : 368,703 = 368,703 : x
  2. Step 2: Convert to fraction form
    168,498/368,703 = 368,703/x
  3. Step 3: Cross multiply
    168,498x = 368,703 × 368,703
  4. Step 4: Simplify right side
    168,498x = 135,941,902,209
  5. Step 5: Solve for x
    x = 135,941,902,209/168,498
  6. Step 6: Final answer
    x = 806,786.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.