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Finding the Third Proportional to 166,542 and 361,164

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Solution

The third proportional to 166,542 and 361,164 is: 783,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,542 : 361,164 = 361,164 : x
  2. Step 2: Convert to fraction form
    166,542/361,164 = 361,164/x
  3. Step 3: Cross multiply
    166,542x = 361,164 × 361,164
  4. Step 4: Simplify right side
    166,542x = 130,439,434,896
  5. Step 5: Solve for x
    x = 130,439,434,896/166,542
  6. Step 6: Final answer
    x = 783,222.46

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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.