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Finding the Third Proportional to 169,901 and 237,635

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Solution

The third proportional to 169,901 and 237,635 is: 332,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,901 : 237,635 = 237,635 : x
  2. Step 2: Convert to fraction form
    169,901/237,635 = 237,635/x
  3. Step 3: Cross multiply
    169,901x = 237,635 × 237,635
  4. Step 4: Simplify right side
    169,901x = 56,470,393,225
  5. Step 5: Solve for x
    x = 56,470,393,225/169,901
  6. Step 6: Final answer
    x = 332,372.34

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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.