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Finding the Third Proportional to 106,860 and 228,540

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Solution

The third proportional to 106,860 and 228,540 is: 488,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,860 : 228,540 = 228,540 : x
  2. Step 2: Convert to fraction form
    106,860/228,540 = 228,540/x
  3. Step 3: Cross multiply
    106,860x = 228,540 × 228,540
  4. Step 4: Simplify right side
    106,860x = 52,230,531,600
  5. Step 5: Solve for x
    x = 52,230,531,600/106,860
  6. Step 6: Final answer
    x = 488,775.33

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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.