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Finding the Third Proportional to 158,082 and 241,137

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Solution

The third proportional to 158,082 and 241,137 is: 367,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,082 : 241,137 = 241,137 : x
  2. Step 2: Convert to fraction form
    158,082/241,137 = 241,137/x
  3. Step 3: Cross multiply
    158,082x = 241,137 × 241,137
  4. Step 4: Simplify right side
    158,082x = 58,147,052,769
  5. Step 5: Solve for x
    x = 58,147,052,769/158,082
  6. Step 6: Final answer
    x = 367,828.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.