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Finding the Third Proportional to 170,901 and 368,098

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Solution

The third proportional to 170,901 and 368,098 is: 792,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,901 : 368,098 = 368,098 : x
  2. Step 2: Convert to fraction form
    170,901/368,098 = 368,098/x
  3. Step 3: Cross multiply
    170,901x = 368,098 × 368,098
  4. Step 4: Simplify right side
    170,901x = 135,496,137,604
  5. Step 5: Solve for x
    x = 135,496,137,604/170,901
  6. Step 6: Final answer
    x = 792,834.08

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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.