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Finding the Third Proportional to 169,898 and 237,631

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Solution

The third proportional to 169,898 and 237,631 is: 332,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,898 : 237,631 = 237,631 : x
  2. Step 2: Convert to fraction form
    169,898/237,631 = 237,631/x
  3. Step 3: Cross multiply
    169,898x = 237,631 × 237,631
  4. Step 4: Simplify right side
    169,898x = 56,468,492,161
  5. Step 5: Solve for x
    x = 56,468,492,161/169,898
  6. Step 6: Final answer
    x = 332,367.02

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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.