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Finding the Third Proportional to 203,096 and 297,704

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Solution

The third proportional to 203,096 and 297,704 is: 436,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,096 : 297,704 = 297,704 : x
  2. Step 2: Convert to fraction form
    203,096/297,704 = 297,704/x
  3. Step 3: Cross multiply
    203,096x = 297,704 × 297,704
  4. Step 4: Simplify right side
    203,096x = 88,627,671,616
  5. Step 5: Solve for x
    x = 88,627,671,616/203,096
  6. Step 6: Final answer
    x = 436,383.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.