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Finding the Third Proportional to 84,268.69 and 180,531.70

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Solution

The third proportional to 84,268.69 and 180,531.70 is: 386,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,268.69 : 180,531.70 = 180,531.70 : x
  2. Step 2: Convert to fraction form
    84,268.69/180,531.70 = 180,531.70/x
  3. Step 3: Cross multiply
    84,268.69x = 180,531.70 × 180,531.70
  4. Step 4: Simplify right side
    84,268.69x = 32,591,695,833.21
  5. Step 5: Solve for x
    x = 32,591,695,833.21/84,268.69
  6. Step 6: Final answer
    x = 386,759.27

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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.