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Finding the Third Proportional to 107,856 and 226,880

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Solution

The third proportional to 107,856 and 226,880 is: 477,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,856 : 226,880 = 226,880 : x
  2. Step 2: Convert to fraction form
    107,856/226,880 = 226,880/x
  3. Step 3: Cross multiply
    107,856x = 226,880 × 226,880
  4. Step 4: Simplify right side
    107,856x = 51,474,534,400
  5. Step 5: Solve for x
    x = 51,474,534,400/107,856
  6. Step 6: Final answer
    x = 477,252.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.