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Finding the Third Proportional to 169,037 and 236,311

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Solution

The third proportional to 169,037 and 236,311 is: 330,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,037 : 236,311 = 236,311 : x
  2. Step 2: Convert to fraction form
    169,037/236,311 = 236,311/x
  3. Step 3: Cross multiply
    169,037x = 236,311 × 236,311
  4. Step 4: Simplify right side
    169,037x = 55,842,888,721
  5. Step 5: Solve for x
    x = 55,842,888,721/169,037
  6. Step 6: Final answer
    x = 330,358.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.