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Finding the Third Proportional to 166,182 and 362,442

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Solution

The third proportional to 166,182 and 362,442 is: 790,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,182 : 362,442 = 362,442 : x
  2. Step 2: Convert to fraction form
    166,182/362,442 = 362,442/x
  3. Step 3: Cross multiply
    166,182x = 362,442 × 362,442
  4. Step 4: Simplify right side
    166,182x = 131,364,203,364
  5. Step 5: Solve for x
    x = 131,364,203,364/166,182
  6. Step 6: Final answer
    x = 790,483.95

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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.