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Finding the Third Proportional to 120,759 and 264,846

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Solution

The third proportional to 120,759 and 264,846 is: 580,854.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,759 : 264,846 = 264,846 : x
  2. Step 2: Convert to fraction form
    120,759/264,846 = 264,846/x
  3. Step 3: Cross multiply
    120,759x = 264,846 × 264,846
  4. Step 4: Simplify right side
    120,759x = 70,143,403,716
  5. Step 5: Solve for x
    x = 70,143,403,716/120,759
  6. Step 6: Final answer
    x = 580,854.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.