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Finding the Third Proportional to 120,524 and 263,260

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Solution

The third proportional to 120,524 and 263,260 is: 575,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,524 : 263,260 = 263,260 : x
  2. Step 2: Convert to fraction form
    120,524/263,260 = 263,260/x
  3. Step 3: Cross multiply
    120,524x = 263,260 × 263,260
  4. Step 4: Simplify right side
    120,524x = 69,305,827,600
  5. Step 5: Solve for x
    x = 69,305,827,600/120,524
  6. Step 6: Final answer
    x = 575,037.57

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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.