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Finding the Third Proportional to 166,579 and 364,225

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Solution

The third proportional to 166,579 and 364,225 is: 796,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,579 : 364,225 = 364,225 : x
  2. Step 2: Convert to fraction form
    166,579/364,225 = 364,225/x
  3. Step 3: Cross multiply
    166,579x = 364,225 × 364,225
  4. Step 4: Simplify right side
    166,579x = 132,659,850,625
  5. Step 5: Solve for x
    x = 132,659,850,625/166,579
  6. Step 6: Final answer
    x = 796,378.00

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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.