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Finding the Third Proportional to 166,180 and 360,544

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Solution

The third proportional to 166,180 and 360,544 is: 782,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,180 : 360,544 = 360,544 : x
  2. Step 2: Convert to fraction form
    166,180/360,544 = 360,544/x
  3. Step 3: Cross multiply
    166,180x = 360,544 × 360,544
  4. Step 4: Simplify right side
    166,180x = 129,991,975,936
  5. Step 5: Solve for x
    x = 129,991,975,936/166,180
  6. Step 6: Final answer
    x = 782,235.98

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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.