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Finding the Third Proportional to 188,082 and 255,150

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Solution

The third proportional to 188,082 and 255,150 is: 346,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,082 : 255,150 = 255,150 : x
  2. Step 2: Convert to fraction form
    188,082/255,150 = 255,150/x
  3. Step 3: Cross multiply
    188,082x = 255,150 × 255,150
  4. Step 4: Simplify right side
    188,082x = 65,101,522,500
  5. Step 5: Solve for x
    x = 65,101,522,500/188,082
  6. Step 6: Final answer
    x = 346,133.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.