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Finding the Third Proportional to 170,669 and 367,097

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Solution

The third proportional to 170,669 and 367,097 is: 789,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,669 : 367,097 = 367,097 : x
  2. Step 2: Convert to fraction form
    170,669/367,097 = 367,097/x
  3. Step 3: Cross multiply
    170,669x = 367,097 × 367,097
  4. Step 4: Simplify right side
    170,669x = 134,760,207,409
  5. Step 5: Solve for x
    x = 134,760,207,409/170,669
  6. Step 6: Final answer
    x = 789,599.79

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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.