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Finding the Third Proportional to 167,954 and 257,715

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Solution

The third proportional to 167,954 and 257,715 is: 395,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,954 : 257,715 = 257,715 : x
  2. Step 2: Convert to fraction form
    167,954/257,715 = 257,715/x
  3. Step 3: Cross multiply
    167,954x = 257,715 × 257,715
  4. Step 4: Simplify right side
    167,954x = 66,417,021,225
  5. Step 5: Solve for x
    x = 66,417,021,225/167,954
  6. Step 6: Final answer
    x = 395,447.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.