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Finding the Third Proportional to 166,304 and 367,608

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Solution

The third proportional to 166,304 and 367,608 is: 812,582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,304 : 367,608 = 367,608 : x
  2. Step 2: Convert to fraction form
    166,304/367,608 = 367,608/x
  3. Step 3: Cross multiply
    166,304x = 367,608 × 367,608
  4. Step 4: Simplify right side
    166,304x = 135,135,641,664
  5. Step 5: Solve for x
    x = 135,135,641,664/166,304
  6. Step 6: Final answer
    x = 812,582.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.