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Finding the Third Proportional to 165,111 and 361,866

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Solution

The third proportional to 165,111 and 361,866 is: 793,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,111 : 361,866 = 361,866 : x
  2. Step 2: Convert to fraction form
    165,111/361,866 = 361,866/x
  3. Step 3: Cross multiply
    165,111x = 361,866 × 361,866
  4. Step 4: Simplify right side
    165,111x = 130,947,001,956
  5. Step 5: Solve for x
    x = 130,947,001,956/165,111
  6. Step 6: Final answer
    x = 793,084.66

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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.