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Finding the Third Proportional to 166,230 and 367,452

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Solution

The third proportional to 166,230 and 367,452 is: 812,253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,230 : 367,452 = 367,452 : x
  2. Step 2: Convert to fraction form
    166,230/367,452 = 367,452/x
  3. Step 3: Cross multiply
    166,230x = 367,452 × 367,452
  4. Step 4: Simplify right side
    166,230x = 135,020,972,304
  5. Step 5: Solve for x
    x = 135,020,972,304/166,230
  6. Step 6: Final answer
    x = 812,253.94

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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.