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Finding the Third Proportional to 123,244 and 252,329

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Solution

The third proportional to 123,244 and 252,329 is: 516,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,244 : 252,329 = 252,329 : x
  2. Step 2: Convert to fraction form
    123,244/252,329 = 252,329/x
  3. Step 3: Cross multiply
    123,244x = 252,329 × 252,329
  4. Step 4: Simplify right side
    123,244x = 63,669,924,241
  5. Step 5: Solve for x
    x = 63,669,924,241/123,244
  6. Step 6: Final answer
    x = 516,616.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.