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Finding the Third Proportional to 165,872 and 254,976

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Solution

The third proportional to 165,872 and 254,976 is: 391,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,872 : 254,976 = 254,976 : x
  2. Step 2: Convert to fraction form
    165,872/254,976 = 254,976/x
  3. Step 3: Cross multiply
    165,872x = 254,976 × 254,976
  4. Step 4: Simplify right side
    165,872x = 65,012,760,576
  5. Step 5: Solve for x
    x = 65,012,760,576/165,872
  6. Step 6: Final answer
    x = 391,945.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.