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Finding the Third Proportional to 166,962 and 360,228

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Solution

The third proportional to 166,962 and 360,228 is: 777,208.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,962 : 360,228 = 360,228 : x
  2. Step 2: Convert to fraction form
    166,962/360,228 = 360,228/x
  3. Step 3: Cross multiply
    166,962x = 360,228 × 360,228
  4. Step 4: Simplify right side
    166,962x = 129,764,211,984
  5. Step 5: Solve for x
    x = 129,764,211,984/166,962
  6. Step 6: Final answer
    x = 777,208.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.