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Finding the Third Proportional to 114,936 and 252,912

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Solution

The third proportional to 114,936 and 252,912 is: 556,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,936 : 252,912 = 252,912 : x
  2. Step 2: Convert to fraction form
    114,936/252,912 = 252,912/x
  3. Step 3: Cross multiply
    114,936x = 252,912 × 252,912
  4. Step 4: Simplify right side
    114,936x = 63,964,479,744
  5. Step 5: Solve for x
    x = 63,964,479,744/114,936
  6. Step 6: Final answer
    x = 556,522.58

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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.