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Finding the Third Proportional to 114,367 and 252,002

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Solution

The third proportional to 114,367 and 252,002 is: 555,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,367 : 252,002 = 252,002 : x
  2. Step 2: Convert to fraction form
    114,367/252,002 = 252,002/x
  3. Step 3: Cross multiply
    114,367x = 252,002 × 252,002
  4. Step 4: Simplify right side
    114,367x = 63,505,008,004
  5. Step 5: Solve for x
    x = 63,505,008,004/114,367
  6. Step 6: Final answer
    x = 555,273.88

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