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Finding the Third Proportional to 165,212 and 344,654

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Solution

The third proportional to 165,212 and 344,654 is: 718,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,212 : 344,654 = 344,654 : x
  2. Step 2: Convert to fraction form
    165,212/344,654 = 344,654/x
  3. Step 3: Cross multiply
    165,212x = 344,654 × 344,654
  4. Step 4: Simplify right side
    165,212x = 118,786,379,716
  5. Step 5: Solve for x
    x = 118,786,379,716/165,212
  6. Step 6: Final answer
    x = 718,993.65

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.