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Finding the Third Proportional to 169,906 and 237,699

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Solution

The third proportional to 169,906 and 237,699 is: 332,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,906 : 237,699 = 237,699 : x
  2. Step 2: Convert to fraction form
    169,906/237,699 = 237,699/x
  3. Step 3: Cross multiply
    169,906x = 237,699 × 237,699
  4. Step 4: Simplify right side
    169,906x = 56,500,814,601
  5. Step 5: Solve for x
    x = 56,500,814,601/169,906
  6. Step 6: Final answer
    x = 332,541.61

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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.