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Finding the Third Proportional to 166,230 and 360,162

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Solution

The third proportional to 166,230 and 360,162 is: 780,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,230 : 360,162 = 360,162 : x
  2. Step 2: Convert to fraction form
    166,230/360,162 = 360,162/x
  3. Step 3: Cross multiply
    166,230x = 360,162 × 360,162
  4. Step 4: Simplify right side
    166,230x = 129,716,666,244
  5. Step 5: Solve for x
    x = 129,716,666,244/166,230
  6. Step 6: Final answer
    x = 780,344.50

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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.