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Finding the Third Proportional to 188,276 and 367,092

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Solution

The third proportional to 188,276 and 367,092 is: 715,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,276 : 367,092 = 367,092 : x
  2. Step 2: Convert to fraction form
    188,276/367,092 = 367,092/x
  3. Step 3: Cross multiply
    188,276x = 367,092 × 367,092
  4. Step 4: Simplify right side
    188,276x = 134,756,536,464
  5. Step 5: Solve for x
    x = 134,756,536,464/188,276
  6. Step 6: Final answer
    x = 715,739.32

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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.