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Finding the Third Proportional to 182,116.13 and 276,454.69

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Solution

The third proportional to 182,116.13 and 276,454.69 is: 419,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,116.13 : 276,454.69 = 276,454.69 : x
  2. Step 2: Convert to fraction form
    182,116.13/276,454.69 = 276,454.69/x
  3. Step 3: Cross multiply
    182,116.13x = 276,454.69 × 276,454.69
  4. Step 4: Simplify right side
    182,116.13x = 76,427,194,240.72
  5. Step 5: Solve for x
    x = 76,427,194,240.72/182,116.13
  6. Step 6: Final answer
    x = 419,661.87

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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.