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Finding the Third Proportional to 166,336 and 361,104

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Solution

The third proportional to 166,336 and 361,104 is: 783,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,336 : 361,104 = 361,104 : x
  2. Step 2: Convert to fraction form
    166,336/361,104 = 361,104/x
  3. Step 3: Cross multiply
    166,336x = 361,104 × 361,104
  4. Step 4: Simplify right side
    166,336x = 130,396,098,816
  5. Step 5: Solve for x
    x = 130,396,098,816/166,336
  6. Step 6: Final answer
    x = 783,931.91

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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.