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Finding the Third Proportional to 236,244 and 364,812

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Solution

The third proportional to 236,244 and 364,812 is: 563,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,244 : 364,812 = 364,812 : x
  2. Step 2: Convert to fraction form
    236,244/364,812 = 364,812/x
  3. Step 3: Cross multiply
    236,244x = 364,812 × 364,812
  4. Step 4: Simplify right side
    236,244x = 133,087,795,344
  5. Step 5: Solve for x
    x = 133,087,795,344/236,244
  6. Step 6: Final answer
    x = 563,348.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.