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Finding the Third Proportional to 180,849 and 393,843

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Solution

The third proportional to 180,849 and 393,843 is: 857,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,849 : 393,843 = 393,843 : x
  2. Step 2: Convert to fraction form
    180,849/393,843 = 393,843/x
  3. Step 3: Cross multiply
    180,849x = 393,843 × 393,843
  4. Step 4: Simplify right side
    180,849x = 155,112,308,649
  5. Step 5: Solve for x
    x = 155,112,308,649/180,849
  6. Step 6: Final answer
    x = 857,689.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.