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Finding the Third Proportional to 170,641 and 367,041

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Solution

The third proportional to 170,641 and 367,041 is: 789,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,641 : 367,041 = 367,041 : x
  2. Step 2: Convert to fraction form
    170,641/367,041 = 367,041/x
  3. Step 3: Cross multiply
    170,641x = 367,041 × 367,041
  4. Step 4: Simplify right side
    170,641x = 134,719,095,681
  5. Step 5: Solve for x
    x = 134,719,095,681/170,641
  6. Step 6: Final answer
    x = 789,488.43

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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.