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Finding the Third Proportional to 114,632 and 252,512

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Solution

The third proportional to 114,632 and 252,512 is: 556,234.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,632 : 252,512 = 252,512 : x
  2. Step 2: Convert to fraction form
    114,632/252,512 = 252,512/x
  3. Step 3: Cross multiply
    114,632x = 252,512 × 252,512
  4. Step 4: Simplify right side
    114,632x = 63,762,310,144
  5. Step 5: Solve for x
    x = 63,762,310,144/114,632
  6. Step 6: Final answer
    x = 556,234.82

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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.