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Finding the Third Proportional to 186,997 and 405,340

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Solution

The third proportional to 186,997 and 405,340 is: 878,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,997 : 405,340 = 405,340 : x
  2. Step 2: Convert to fraction form
    186,997/405,340 = 405,340/x
  3. Step 3: Cross multiply
    186,997x = 405,340 × 405,340
  4. Step 4: Simplify right side
    186,997x = 164,300,515,600
  5. Step 5: Solve for x
    x = 164,300,515,600/186,997
  6. Step 6: Final answer
    x = 878,626.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.