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Finding the Third Proportional to 182,120.50 and 275,722

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Solution

The third proportional to 182,120.50 and 275,722 is: 417,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,120.50 : 275,722 = 275,722 : x
  2. Step 2: Convert to fraction form
    182,120.50/275,722 = 275,722/x
  3. Step 3: Cross multiply
    182,120.50x = 275,722 × 275,722
  4. Step 4: Simplify right side
    182,120.50x = 76,022,621,284
  5. Step 5: Solve for x
    x = 76,022,621,284/182,120.50
  6. Step 6: Final answer
    x = 417,430.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.