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Finding the Third Proportional to 84,645 and 180,954

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Solution

The third proportional to 84,645 and 180,954 is: 386,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645 : 180,954 = 180,954 : x
  2. Step 2: Convert to fraction form
    84,645/180,954 = 180,954/x
  3. Step 3: Cross multiply
    84,645x = 180,954 × 180,954
  4. Step 4: Simplify right side
    84,645x = 32,744,350,116
  5. Step 5: Solve for x
    x = 32,744,350,116/84,645
  6. Step 6: Final answer
    x = 386,843.29

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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.