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Finding the Third Proportional to 180,431.93 and 252,255.52

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Solution

The third proportional to 180,431.93 and 252,255.52 is: 352,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,431.93 : 252,255.52 = 252,255.52 : x
  2. Step 2: Convert to fraction form
    180,431.93/252,255.52 = 252,255.52/x
  3. Step 3: Cross multiply
    180,431.93x = 252,255.52 × 252,255.52
  4. Step 4: Simplify right side
    180,431.93x = 63,632,845,163.23
  5. Step 5: Solve for x
    x = 63,632,845,163.23/180,431.93
  6. Step 6: Final answer
    x = 352,669.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.