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Finding the Third Proportional to 167,776 and 253,824

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Solution

The third proportional to 167,776 and 253,824 is: 384,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,776 : 253,824 = 253,824 : x
  2. Step 2: Convert to fraction form
    167,776/253,824 = 253,824/x
  3. Step 3: Cross multiply
    167,776x = 253,824 × 253,824
  4. Step 4: Simplify right side
    167,776x = 64,426,622,976
  5. Step 5: Solve for x
    x = 64,426,622,976/167,776
  6. Step 6: Final answer
    x = 384,003.81

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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.