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Finding the Third Proportional to 181,743 and 275,884.50

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Solution

The third proportional to 181,743 and 275,884.50 is: 418,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,743 : 275,884.50 = 275,884.50 : x
  2. Step 2: Convert to fraction form
    181,743/275,884.50 = 275,884.50/x
  3. Step 3: Cross multiply
    181,743x = 275,884.50 × 275,884.50
  4. Step 4: Simplify right side
    181,743x = 76,112,257,340.25
  5. Step 5: Solve for x
    x = 76,112,257,340.25/181,743
  6. Step 6: Final answer
    x = 418,790.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.