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Finding the Third Proportional to 161,193 and 346,174

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Solution

The third proportional to 161,193 and 346,174 is: 743,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,193 : 346,174 = 346,174 : x
  2. Step 2: Convert to fraction form
    161,193/346,174 = 346,174/x
  3. Step 3: Cross multiply
    161,193x = 346,174 × 346,174
  4. Step 4: Simplify right side
    161,193x = 119,836,438,276
  5. Step 5: Solve for x
    x = 119,836,438,276/161,193
  6. Step 6: Final answer
    x = 743,434.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.