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Finding the Third Proportional to 106,840 and 228,503

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Solution

The third proportional to 106,840 and 228,503 is: 488,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,840 : 228,503 = 228,503 : x
  2. Step 2: Convert to fraction form
    106,840/228,503 = 228,503/x
  3. Step 3: Cross multiply
    106,840x = 228,503 × 228,503
  4. Step 4: Simplify right side
    106,840x = 52,213,621,009
  5. Step 5: Solve for x
    x = 52,213,621,009/106,840
  6. Step 6: Final answer
    x = 488,708.55

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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.