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Finding the Third Proportional to 166,324 and 355,976

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Solution

The third proportional to 166,324 and 355,976 is: 761,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,324 : 355,976 = 355,976 : x
  2. Step 2: Convert to fraction form
    166,324/355,976 = 355,976/x
  3. Step 3: Cross multiply
    166,324x = 355,976 × 355,976
  4. Step 4: Simplify right side
    166,324x = 126,718,912,576
  5. Step 5: Solve for x
    x = 126,718,912,576/166,324
  6. Step 6: Final answer
    x = 761,879.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.