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Finding the Third Proportional to 166,330 and 361,092

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Solution

The third proportional to 166,330 and 361,092 is: 783,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,330 : 361,092 = 361,092 : x
  2. Step 2: Convert to fraction form
    166,330/361,092 = 361,092/x
  3. Step 3: Cross multiply
    166,330x = 361,092 × 361,092
  4. Step 4: Simplify right side
    166,330x = 130,387,432,464
  5. Step 5: Solve for x
    x = 130,387,432,464/166,330
  6. Step 6: Final answer
    x = 783,908.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.