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Finding the Third Proportional to 120,596.50 and 262,622

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Solution

The third proportional to 120,596.50 and 262,622 is: 571,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,596.50 : 262,622 = 262,622 : x
  2. Step 2: Convert to fraction form
    120,596.50/262,622 = 262,622/x
  3. Step 3: Cross multiply
    120,596.50x = 262,622 × 262,622
  4. Step 4: Simplify right side
    120,596.50x = 68,970,314,884
  5. Step 5: Solve for x
    x = 68,970,314,884/120,596.50
  6. Step 6: Final answer
    x = 571,909.76

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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.