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Finding the Third Proportional to 182,120.91 and 275,721.47

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Solution

The third proportional to 182,120.91 and 275,721.47 is: 417,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,120.91 : 275,721.47 = 275,721.47 : x
  2. Step 2: Convert to fraction form
    182,120.91/275,721.47 = 275,721.47/x
  3. Step 3: Cross multiply
    182,120.91x = 275,721.47 × 275,721.47
  4. Step 4: Simplify right side
    182,120.91x = 76,022,328,329.66
  5. Step 5: Solve for x
    x = 76,022,328,329.66/182,120.91
  6. Step 6: Final answer
    x = 417,427.80

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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.