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Finding the Third Proportional to 166,356 and 362,349

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Solution

The third proportional to 166,356 and 362,349 is: 789,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,356 : 362,349 = 362,349 : x
  2. Step 2: Convert to fraction form
    166,356/362,349 = 362,349/x
  3. Step 3: Cross multiply
    166,356x = 362,349 × 362,349
  4. Step 4: Simplify right side
    166,356x = 131,296,797,801
  5. Step 5: Solve for x
    x = 131,296,797,801/166,356
  6. Step 6: Final answer
    x = 789,251.95

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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.