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Finding the Third Proportional to 169,174 and 367,500

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Solution

The third proportional to 169,174 and 367,500 is: 798,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,174 : 367,500 = 367,500 : x
  2. Step 2: Convert to fraction form
    169,174/367,500 = 367,500/x
  3. Step 3: Cross multiply
    169,174x = 367,500 × 367,500
  4. Step 4: Simplify right side
    169,174x = 135,056,250,000
  5. Step 5: Solve for x
    x = 135,056,250,000/169,174
  6. Step 6: Final answer
    x = 798,327.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.