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Finding the Third Proportional to 170,661 and 367,081

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Solution

The third proportional to 170,661 and 367,081 is: 789,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,661 : 367,081 = 367,081 : x
  2. Step 2: Convert to fraction form
    170,661/367,081 = 367,081/x
  3. Step 3: Cross multiply
    170,661x = 367,081 × 367,081
  4. Step 4: Simplify right side
    170,661x = 134,748,460,561
  5. Step 5: Solve for x
    x = 134,748,460,561/170,661
  6. Step 6: Final answer
    x = 789,567.98

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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.