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Finding the Third Proportional to 165,954 and 364,164

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Solution

The third proportional to 165,954 and 364,164 is: 799,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,954 : 364,164 = 364,164 : x
  2. Step 2: Convert to fraction form
    165,954/364,164 = 364,164/x
  3. Step 3: Cross multiply
    165,954x = 364,164 × 364,164
  4. Step 4: Simplify right side
    165,954x = 132,615,418,896
  5. Step 5: Solve for x
    x = 132,615,418,896/165,954
  6. Step 6: Final answer
    x = 799,109.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.