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Finding the Third Proportional to 74,229.75 and 165,020.63

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Solution

The third proportional to 74,229.75 and 165,020.63 is: 366,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,229.75 : 165,020.63 = 165,020.63 : x
  2. Step 2: Convert to fraction form
    74,229.75/165,020.63 = 165,020.63/x
  3. Step 3: Cross multiply
    74,229.75x = 165,020.63 × 165,020.63
  4. Step 4: Simplify right side
    74,229.75x = 27,231,806,675.39
  5. Step 5: Solve for x
    x = 27,231,806,675.39/74,229.75
  6. Step 6: Final answer
    x = 366,858.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.