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Finding the Third Proportional to 165,256 and 354,500

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Solution

The third proportional to 165,256 and 354,500 is: 760,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,256 : 354,500 = 354,500 : x
  2. Step 2: Convert to fraction form
    165,256/354,500 = 354,500/x
  3. Step 3: Cross multiply
    165,256x = 354,500 × 354,500
  4. Step 4: Simplify right side
    165,256x = 125,670,250,000
  5. Step 5: Solve for x
    x = 125,670,250,000/165,256
  6. Step 6: Final answer
    x = 760,458.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.