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Finding the Third Proportional to 166,184 and 362,446

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Solution

The third proportional to 166,184 and 362,446 is: 790,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,184 : 362,446 = 362,446 : x
  2. Step 2: Convert to fraction form
    166,184/362,446 = 362,446/x
  3. Step 3: Cross multiply
    166,184x = 362,446 × 362,446
  4. Step 4: Simplify right side
    166,184x = 131,367,102,916
  5. Step 5: Solve for x
    x = 131,367,102,916/166,184
  6. Step 6: Final answer
    x = 790,491.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.