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Finding the Third Proportional to 120,591 and 262,610

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Solution

The third proportional to 120,591 and 262,610 is: 571,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,591 : 262,610 = 262,610 : x
  2. Step 2: Convert to fraction form
    120,591/262,610 = 262,610/x
  3. Step 3: Cross multiply
    120,591x = 262,610 × 262,610
  4. Step 4: Simplify right side
    120,591x = 68,964,012,100
  5. Step 5: Solve for x
    x = 68,964,012,100/120,591
  6. Step 6: Final answer
    x = 571,883.57

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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.