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Finding the Third Proportional to 165,770 and 354,806

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Solution

The third proportional to 165,770 and 354,806 is: 759,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770 : 354,806 = 354,806 : x
  2. Step 2: Convert to fraction form
    165,770/354,806 = 354,806/x
  3. Step 3: Cross multiply
    165,770x = 354,806 × 354,806
  4. Step 4: Simplify right side
    165,770x = 125,887,297,636
  5. Step 5: Solve for x
    x = 125,887,297,636/165,770
  6. Step 6: Final answer
    x = 759,409.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.