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Finding the Third Proportional to 165,843 and 353,367

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Solution

The third proportional to 165,843 and 353,367 is: 752,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,843 : 353,367 = 353,367 : x
  2. Step 2: Convert to fraction form
    165,843/353,367 = 353,367/x
  3. Step 3: Cross multiply
    165,843x = 353,367 × 353,367
  4. Step 4: Simplify right side
    165,843x = 124,868,236,689
  5. Step 5: Solve for x
    x = 124,868,236,689/165,843
  6. Step 6: Final answer
    x = 752,930.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.