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Finding the Third Proportional to 203,211 and 316,449

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Solution

The third proportional to 203,211 and 316,449 is: 492,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,211 : 316,449 = 316,449 : x
  2. Step 2: Convert to fraction form
    203,211/316,449 = 316,449/x
  3. Step 3: Cross multiply
    203,211x = 316,449 × 316,449
  4. Step 4: Simplify right side
    203,211x = 100,139,969,601
  5. Step 5: Solve for x
    x = 100,139,969,601/203,211
  6. Step 6: Final answer
    x = 492,788.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.