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Finding the Third Proportional to 165,745 and 362,837

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Solution

The third proportional to 165,745 and 362,837 is: 794,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,745 : 362,837 = 362,837 : x
  2. Step 2: Convert to fraction form
    165,745/362,837 = 362,837/x
  3. Step 3: Cross multiply
    165,745x = 362,837 × 362,837
  4. Step 4: Simplify right side
    165,745x = 131,650,688,569
  5. Step 5: Solve for x
    x = 131,650,688,569/165,745
  6. Step 6: Final answer
    x = 794,296.59

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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.