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Finding the Third Proportional to 167,896 and 253,462

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Solution

The third proportional to 167,896 and 253,462 is: 382,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,896 : 253,462 = 253,462 : x
  2. Step 2: Convert to fraction form
    167,896/253,462 = 253,462/x
  3. Step 3: Cross multiply
    167,896x = 253,462 × 253,462
  4. Step 4: Simplify right side
    167,896x = 64,242,985,444
  5. Step 5: Solve for x
    x = 64,242,985,444/167,896
  6. Step 6: Final answer
    x = 382,635.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.