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Finding the Third Proportional to 165,568 and 368,611

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Solution

The third proportional to 165,568 and 368,611 is: 820,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,568 : 368,611 = 368,611 : x
  2. Step 2: Convert to fraction form
    165,568/368,611 = 368,611/x
  3. Step 3: Cross multiply
    165,568x = 368,611 × 368,611
  4. Step 4: Simplify right side
    165,568x = 135,874,069,321
  5. Step 5: Solve for x
    x = 135,874,069,321/165,568
  6. Step 6: Final answer
    x = 820,654.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.