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Finding the Third Proportional to 120,350 and 260,788

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Solution

The third proportional to 120,350 and 260,788 is: 565,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,350 : 260,788 = 260,788 : x
  2. Step 2: Convert to fraction form
    120,350/260,788 = 260,788/x
  3. Step 3: Cross multiply
    120,350x = 260,788 × 260,788
  4. Step 4: Simplify right side
    120,350x = 68,010,380,944
  5. Step 5: Solve for x
    x = 68,010,380,944/120,350
  6. Step 6: Final answer
    x = 565,104.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.