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Finding the Third Proportional to 81,567.20 and 179,222.94

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Solution

The third proportional to 81,567.20 and 179,222.94 is: 393,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,567.20 : 179,222.94 = 179,222.94 : x
  2. Step 2: Convert to fraction form
    81,567.20/179,222.94 = 179,222.94/x
  3. Step 3: Cross multiply
    81,567.20x = 179,222.94 × 179,222.94
  4. Step 4: Simplify right side
    81,567.20x = 32,120,862,726.31
  5. Step 5: Solve for x
    x = 32,120,862,726.31/81,567.20
  6. Step 6: Final answer
    x = 393,796.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.