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Finding the Third Proportional to 203,082 and 297,690

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Solution

The third proportional to 203,082 and 297,690 is: 436,372.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,082 : 297,690 = 297,690 : x
  2. Step 2: Convert to fraction form
    203,082/297,690 = 297,690/x
  3. Step 3: Cross multiply
    203,082x = 297,690 × 297,690
  4. Step 4: Simplify right side
    203,082x = 88,619,336,100
  5. Step 5: Solve for x
    x = 88,619,336,100/203,082
  6. Step 6: Final answer
    x = 436,372.19

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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.