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Finding the Third Proportional to 106,408 and 228,496

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Solution

The third proportional to 106,408 and 228,496 is: 490,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408 : 228,496 = 228,496 : x
  2. Step 2: Convert to fraction form
    106,408/228,496 = 228,496/x
  3. Step 3: Cross multiply
    106,408x = 228,496 × 228,496
  4. Step 4: Simplify right side
    106,408x = 52,210,422,016
  5. Step 5: Solve for x
    x = 52,210,422,016/106,408
  6. Step 6: Final answer
    x = 490,662.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.