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Finding the Third Proportional to 166,184 and 353,104

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Solution

The third proportional to 166,184 and 353,104 is: 750,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,184 : 353,104 = 353,104 : x
  2. Step 2: Convert to fraction form
    166,184/353,104 = 353,104/x
  3. Step 3: Cross multiply
    166,184x = 353,104 × 353,104
  4. Step 4: Simplify right side
    166,184x = 124,682,434,816
  5. Step 5: Solve for x
    x = 124,682,434,816/166,184
  6. Step 6: Final answer
    x = 750,267.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.