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Finding the Third Proportional to 203,634 and 296,217

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Solution

The third proportional to 203,634 and 296,217 is: 430,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,634 : 296,217 = 296,217 : x
  2. Step 2: Convert to fraction form
    203,634/296,217 = 296,217/x
  3. Step 3: Cross multiply
    203,634x = 296,217 × 296,217
  4. Step 4: Simplify right side
    203,634x = 87,744,511,089
  5. Step 5: Solve for x
    x = 87,744,511,089/203,634
  6. Step 6: Final answer
    x = 430,893.23

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.