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Finding the Third Proportional to 166,393 and 364,273

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Solution

The third proportional to 166,393 and 364,273 is: 797,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,393 : 364,273 = 364,273 : x
  2. Step 2: Convert to fraction form
    166,393/364,273 = 364,273/x
  3. Step 3: Cross multiply
    166,393x = 364,273 × 364,273
  4. Step 4: Simplify right side
    166,393x = 132,694,818,529
  5. Step 5: Solve for x
    x = 132,694,818,529/166,393
  6. Step 6: Final answer
    x = 797,478.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.