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Finding the Third Proportional to 120,860 and 264,562

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Solution

The third proportional to 120,860 and 264,562 is: 579,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,860 : 264,562 = 264,562 : x
  2. Step 2: Convert to fraction form
    120,860/264,562 = 264,562/x
  3. Step 3: Cross multiply
    120,860x = 264,562 × 264,562
  4. Step 4: Simplify right side
    120,860x = 69,993,051,844
  5. Step 5: Solve for x
    x = 69,993,051,844/120,860
  6. Step 6: Final answer
    x = 579,125.04

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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.