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Finding the Third Proportional to 119,775 and 260,799

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Solution

The third proportional to 119,775 and 260,799 is: 567,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,775 : 260,799 = 260,799 : x
  2. Step 2: Convert to fraction form
    119,775/260,799 = 260,799/x
  3. Step 3: Cross multiply
    119,775x = 260,799 × 260,799
  4. Step 4: Simplify right side
    119,775x = 68,016,118,401
  5. Step 5: Solve for x
    x = 68,016,118,401/119,775
  6. Step 6: Final answer
    x = 567,865.73

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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.