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Finding the Third Proportional to 105,840 and 226,408

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Solution

The third proportional to 105,840 and 226,408 is: 484,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840 : 226,408 = 226,408 : x
  2. Step 2: Convert to fraction form
    105,840/226,408 = 226,408/x
  3. Step 3: Cross multiply
    105,840x = 226,408 × 226,408
  4. Step 4: Simplify right side
    105,840x = 51,260,582,464
  5. Step 5: Solve for x
    x = 51,260,582,464/105,840
  6. Step 6: Final answer
    x = 484,321.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.