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Finding the Third Proportional to 120,884 and 263,274

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Solution

The third proportional to 120,884 and 263,274 is: 573,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,884 : 263,274 = 263,274 : x
  2. Step 2: Convert to fraction form
    120,884/263,274 = 263,274/x
  3. Step 3: Cross multiply
    120,884x = 263,274 × 263,274
  4. Step 4: Simplify right side
    120,884x = 69,313,199,076
  5. Step 5: Solve for x
    x = 69,313,199,076/120,884
  6. Step 6: Final answer
    x = 573,386.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.