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Finding the Third Proportional to 106,848 and 228,519

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Solution

The third proportional to 106,848 and 228,519 is: 488,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,848 : 228,519 = 228,519 : x
  2. Step 2: Convert to fraction form
    106,848/228,519 = 228,519/x
  3. Step 3: Cross multiply
    106,848x = 228,519 × 228,519
  4. Step 4: Simplify right side
    106,848x = 52,220,933,361
  5. Step 5: Solve for x
    x = 52,220,933,361/106,848
  6. Step 6: Final answer
    x = 488,740.39

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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.