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Finding the Third Proportional to 159,082.75 and 343,073.25

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Solution

The third proportional to 159,082.75 and 343,073.25 is: 739,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082.75 : 343,073.25 = 343,073.25 : x
  2. Step 2: Convert to fraction form
    159,082.75/343,073.25 = 343,073.25/x
  3. Step 3: Cross multiply
    159,082.75x = 343,073.25 × 343,073.25
  4. Step 4: Simplify right side
    159,082.75x = 117,699,254,865.56
  5. Step 5: Solve for x
    x = 117,699,254,865.56/159,082.75
  6. Step 6: Final answer
    x = 739,861.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.