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Finding the Third Proportional to 166,551 and 361,182

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Solution

The third proportional to 166,551 and 361,182 is: 783,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,551 : 361,182 = 361,182 : x
  2. Step 2: Convert to fraction form
    166,551/361,182 = 361,182/x
  3. Step 3: Cross multiply
    166,551x = 361,182 × 361,182
  4. Step 4: Simplify right side
    166,551x = 130,452,437,124
  5. Step 5: Solve for x
    x = 130,452,437,124/166,551
  6. Step 6: Final answer
    x = 783,258.20

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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.