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Finding the Third Proportional to 159,082 and 343,074

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Solution

The third proportional to 159,082 and 343,074 is: 739,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,082 : 343,074 = 343,074 : x
  2. Step 2: Convert to fraction form
    159,082/343,074 = 343,074/x
  3. Step 3: Cross multiply
    159,082x = 343,074 × 343,074
  4. Step 4: Simplify right side
    159,082x = 117,699,769,476
  5. Step 5: Solve for x
    x = 117,699,769,476/159,082
  6. Step 6: Final answer
    x = 739,868.56

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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.