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Finding the Third Proportional to 115,082 and 238,150

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Solution

The third proportional to 115,082 and 238,150 is: 492,826.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,082 : 238,150 = 238,150 : x
  2. Step 2: Convert to fraction form
    115,082/238,150 = 238,150/x
  3. Step 3: Cross multiply
    115,082x = 238,150 × 238,150
  4. Step 4: Simplify right side
    115,082x = 56,715,422,500
  5. Step 5: Solve for x
    x = 56,715,422,500/115,082
  6. Step 6: Final answer
    x = 492,826.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.