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Finding the Third Proportional to 120,362 and 260,812

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Solution

The third proportional to 120,362 and 260,812 is: 565,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362 : 260,812 = 260,812 : x
  2. Step 2: Convert to fraction form
    120,362/260,812 = 260,812/x
  3. Step 3: Cross multiply
    120,362x = 260,812 × 260,812
  4. Step 4: Simplify right side
    120,362x = 68,022,899,344
  5. Step 5: Solve for x
    x = 68,022,899,344/120,362
  6. Step 6: Final answer
    x = 565,152.62

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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.