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Finding the Third Proportional to 120,872.25 and 263,886.75

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Solution

The third proportional to 120,872.25 and 263,886.75 is: 576,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,872.25 : 263,886.75 = 263,886.75 : x
  2. Step 2: Convert to fraction form
    120,872.25/263,886.75 = 263,886.75/x
  3. Step 3: Cross multiply
    120,872.25x = 263,886.75 × 263,886.75
  4. Step 4: Simplify right side
    120,872.25x = 69,636,216,825.56
  5. Step 5: Solve for x
    x = 69,636,216,825.56/120,872.25
  6. Step 6: Final answer
    x = 576,114.18

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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.