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Finding the Third Proportional to 165,976 and 253,824

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Solution

The third proportional to 165,976 and 253,824 is: 388,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,976 : 253,824 = 253,824 : x
  2. Step 2: Convert to fraction form
    165,976/253,824 = 253,824/x
  3. Step 3: Cross multiply
    165,976x = 253,824 × 253,824
  4. Step 4: Simplify right side
    165,976x = 64,426,622,976
  5. Step 5: Solve for x
    x = 64,426,622,976/165,976
  6. Step 6: Final answer
    x = 388,168.31

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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.