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Finding the Third Proportional to 188,474 and 264,145

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Solution

The third proportional to 188,474 and 264,145 is: 370,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,474 : 264,145 = 264,145 : x
  2. Step 2: Convert to fraction form
    188,474/264,145 = 264,145/x
  3. Step 3: Cross multiply
    188,474x = 264,145 × 264,145
  4. Step 4: Simplify right side
    188,474x = 69,772,581,025
  5. Step 5: Solve for x
    x = 69,772,581,025/188,474
  6. Step 6: Final answer
    x = 370,197.38

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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.