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Finding the Third Proportional to 182,115.75 and 276,454.13

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Solution

The third proportional to 182,115.75 and 276,454.13 is: 419,661.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,115.75 : 276,454.13 = 276,454.13 : x
  2. Step 2: Convert to fraction form
    182,115.75/276,454.13 = 276,454.13/x
  3. Step 3: Cross multiply
    182,115.75x = 276,454.13 × 276,454.13
  4. Step 4: Simplify right side
    182,115.75x = 76,426,883,229.52
  5. Step 5: Solve for x
    x = 76,426,883,229.52/182,115.75
  6. Step 6: Final answer
    x = 419,661.03

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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.