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Finding the Third Proportional to 110,766 and 260,049

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Solution

The third proportional to 110,766 and 260,049 is: 610,525.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,766 : 260,049 = 260,049 : x
  2. Step 2: Convert to fraction form
    110,766/260,049 = 260,049/x
  3. Step 3: Cross multiply
    110,766x = 260,049 × 260,049
  4. Step 4: Simplify right side
    110,766x = 67,625,482,401
  5. Step 5: Solve for x
    x = 67,625,482,401/110,766
  6. Step 6: Final answer
    x = 610,525.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.