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Finding the Third Proportional to 164,748.94 and 339,336.84

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Solution

The third proportional to 164,748.94 and 339,336.84 is: 698,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,748.94 : 339,336.84 = 339,336.84 : x
  2. Step 2: Convert to fraction form
    164,748.94/339,336.84 = 339,336.84/x
  3. Step 3: Cross multiply
    164,748.94x = 339,336.84 × 339,336.84
  4. Step 4: Simplify right side
    164,748.94x = 115,149,493,526.21
  5. Step 5: Solve for x
    x = 115,149,493,526.21/164,748.94
  6. Step 6: Final answer
    x = 698,939.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.