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Finding the Third Proportional to 164,860 and 337,550

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Solution

The third proportional to 164,860 and 337,550 is: 691,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,860 : 337,550 = 337,550 : x
  2. Step 2: Convert to fraction form
    164,860/337,550 = 337,550/x
  3. Step 3: Cross multiply
    164,860x = 337,550 × 337,550
  4. Step 4: Simplify right side
    164,860x = 113,940,002,500
  5. Step 5: Solve for x
    x = 113,940,002,500/164,860
  6. Step 6: Final answer
    x = 691,131.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.