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Finding the Third Proportional to 114,696 and 252,234

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Solution

The third proportional to 114,696 and 252,234 is: 554,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,696 : 252,234 = 252,234 : x
  2. Step 2: Convert to fraction form
    114,696/252,234 = 252,234/x
  3. Step 3: Cross multiply
    114,696x = 252,234 × 252,234
  4. Step 4: Simplify right side
    114,696x = 63,621,990,756
  5. Step 5: Solve for x
    x = 63,621,990,756/114,696
  6. Step 6: Final answer
    x = 554,701.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.