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Finding the Third Proportional to 182,350 and 276,042

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Solution

The third proportional to 182,350 and 276,042 is: 417,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,350 : 276,042 = 276,042 : x
  2. Step 2: Convert to fraction form
    182,350/276,042 = 276,042/x
  3. Step 3: Cross multiply
    182,350x = 276,042 × 276,042
  4. Step 4: Simplify right side
    182,350x = 76,199,185,764
  5. Step 5: Solve for x
    x = 76,199,185,764/182,350
  6. Step 6: Final answer
    x = 417,873.24

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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.