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Finding the Third Proportional to 106,245 and 228,884

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Solution

The third proportional to 106,245 and 228,884 is: 493,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,245 : 228,884 = 228,884 : x
  2. Step 2: Convert to fraction form
    106,245/228,884 = 228,884/x
  3. Step 3: Cross multiply
    106,245x = 228,884 × 228,884
  4. Step 4: Simplify right side
    106,245x = 52,387,885,456
  5. Step 5: Solve for x
    x = 52,387,885,456/106,245
  6. Step 6: Final answer
    x = 493,085.66

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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.