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Finding the Third Proportional to 165,326 and 254,447

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Solution

The third proportional to 165,326 and 254,447 is: 391,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,326 : 254,447 = 254,447 : x
  2. Step 2: Convert to fraction form
    165,326/254,447 = 254,447/x
  3. Step 3: Cross multiply
    165,326x = 254,447 × 254,447
  4. Step 4: Simplify right side
    165,326x = 64,743,275,809
  5. Step 5: Solve for x
    x = 64,743,275,809/165,326
  6. Step 6: Final answer
    x = 391,609.76

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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.