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Finding the Third Proportional to 158,082 and 231,200

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Solution

The third proportional to 158,082 and 231,200 is: 338,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,082 : 231,200 = 231,200 : x
  2. Step 2: Convert to fraction form
    158,082/231,200 = 231,200/x
  3. Step 3: Cross multiply
    158,082x = 231,200 × 231,200
  4. Step 4: Simplify right side
    158,082x = 53,453,440,000
  5. Step 5: Solve for x
    x = 53,453,440,000/158,082
  6. Step 6: Final answer
    x = 338,137.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.