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Finding the Third Proportional to 182,154 and 276,921

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Solution

The third proportional to 182,154 and 276,921 is: 420,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,154 : 276,921 = 276,921 : x
  2. Step 2: Convert to fraction form
    182,154/276,921 = 276,921/x
  3. Step 3: Cross multiply
    182,154x = 276,921 × 276,921
  4. Step 4: Simplify right side
    182,154x = 76,685,240,241
  5. Step 5: Solve for x
    x = 76,685,240,241/182,154
  6. Step 6: Final answer
    x = 420,991.25

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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.