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Finding the Third Proportional to 83,467.13 and 180,299.25

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Solution

The third proportional to 83,467.13 and 180,299.25 is: 389,468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,467.13 : 180,299.25 = 180,299.25 : x
  2. Step 2: Convert to fraction form
    83,467.13/180,299.25 = 180,299.25/x
  3. Step 3: Cross multiply
    83,467.13x = 180,299.25 × 180,299.25
  4. Step 4: Simplify right side
    83,467.13x = 32,507,819,550.56
  5. Step 5: Solve for x
    x = 32,507,819,550.56/83,467.13
  6. Step 6: Final answer
    x = 389,468.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.