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Finding the Third Proportional to 106,874 and 228,049

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Solution

The third proportional to 106,874 and 228,049 is: 486,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,874 : 228,049 = 228,049 : x
  2. Step 2: Convert to fraction form
    106,874/228,049 = 228,049/x
  3. Step 3: Cross multiply
    106,874x = 228,049 × 228,049
  4. Step 4: Simplify right side
    106,874x = 52,006,346,401
  5. Step 5: Solve for x
    x = 52,006,346,401/106,874
  6. Step 6: Final answer
    x = 486,613.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.