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Finding the Third Proportional to 188,272 and 367,086

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Solution

The third proportional to 188,272 and 367,086 is: 715,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,272 : 367,086 = 367,086 : x
  2. Step 2: Convert to fraction form
    188,272/367,086 = 367,086/x
  3. Step 3: Cross multiply
    188,272x = 367,086 × 367,086
  4. Step 4: Simplify right side
    188,272x = 134,752,131,396
  5. Step 5: Solve for x
    x = 134,752,131,396/188,272
  6. Step 6: Final answer
    x = 715,731.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.