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Finding the Third Proportional to 182,156 and 276,924

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Solution

The third proportional to 182,156 and 276,924 is: 420,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,156 : 276,924 = 276,924 : x
  2. Step 2: Convert to fraction form
    182,156/276,924 = 276,924/x
  3. Step 3: Cross multiply
    182,156x = 276,924 × 276,924
  4. Step 4: Simplify right side
    182,156x = 76,686,901,776
  5. Step 5: Solve for x
    x = 76,686,901,776/182,156
  6. Step 6: Final answer
    x = 420,995.75

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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.