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Finding the Third Proportional to 84,627 and 180,918

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Solution

The third proportional to 84,627 and 180,918 is: 386,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,627 : 180,918 = 180,918 : x
  2. Step 2: Convert to fraction form
    84,627/180,918 = 180,918/x
  3. Step 3: Cross multiply
    84,627x = 180,918 × 180,918
  4. Step 4: Simplify right side
    84,627x = 32,731,322,724
  5. Step 5: Solve for x
    x = 32,731,322,724/84,627
  6. Step 6: Final answer
    x = 386,771.63

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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.