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Finding the Third Proportional to 120,969 and 262,644

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Solution

The third proportional to 120,969 and 262,644 is: 570,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,969 : 262,644 = 262,644 : x
  2. Step 2: Convert to fraction form
    120,969/262,644 = 262,644/x
  3. Step 3: Cross multiply
    120,969x = 262,644 × 262,644
  4. Step 4: Simplify right side
    120,969x = 68,981,870,736
  5. Step 5: Solve for x
    x = 68,981,870,736/120,969
  6. Step 6: Final answer
    x = 570,244.20

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