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Finding the Third Proportional to 166,530.94 and 364,697.44

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Solution

The third proportional to 166,530.94 and 364,697.44 is: 798,675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,530.94 : 364,697.44 = 364,697.44 : x
  2. Step 2: Convert to fraction form
    166,530.94/364,697.44 = 364,697.44/x
  3. Step 3: Cross multiply
    166,530.94x = 364,697.44 × 364,697.44
  4. Step 4: Simplify right side
    166,530.94x = 133,004,220,919.07
  5. Step 5: Solve for x
    x = 133,004,220,919.07/166,530.94
  6. Step 6: Final answer
    x = 798,675.75

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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.