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Finding the Third Proportional to 188,452 and 264,112

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Solution

The third proportional to 188,452 and 264,112 is: 370,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,452 : 264,112 = 264,112 : x
  2. Step 2: Convert to fraction form
    188,452/264,112 = 264,112/x
  3. Step 3: Cross multiply
    188,452x = 264,112 × 264,112
  4. Step 4: Simplify right side
    188,452x = 69,755,148,544
  5. Step 5: Solve for x
    x = 69,755,148,544/188,452
  6. Step 6: Final answer
    x = 370,148.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.