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Finding the Third Proportional to 120,516 and 263,244

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Solution

The third proportional to 120,516 and 263,244 is: 575,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,516 : 263,244 = 263,244 : x
  2. Step 2: Convert to fraction form
    120,516/263,244 = 263,244/x
  3. Step 3: Cross multiply
    120,516x = 263,244 × 263,244
  4. Step 4: Simplify right side
    120,516x = 69,297,403,536
  5. Step 5: Solve for x
    x = 69,297,403,536/120,516
  6. Step 6: Final answer
    x = 575,005.84

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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.