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Finding the Third Proportional to 165,956 and 364,168

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Solution

The third proportional to 165,956 and 364,168 is: 799,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,956 : 364,168 = 364,168 : x
  2. Step 2: Convert to fraction form
    165,956/364,168 = 364,168/x
  3. Step 3: Cross multiply
    165,956x = 364,168 × 364,168
  4. Step 4: Simplify right side
    165,956x = 132,618,332,224
  5. Step 5: Solve for x
    x = 132,618,332,224/165,956
  6. Step 6: Final answer
    x = 799,117.43

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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.