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Finding the Third Proportional to 188,273 and 263,337

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Solution

The third proportional to 188,273 and 263,337 is: 368,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,273 : 263,337 = 263,337 : x
  2. Step 2: Convert to fraction form
    188,273/263,337 = 263,337/x
  3. Step 3: Cross multiply
    188,273x = 263,337 × 263,337
  4. Step 4: Simplify right side
    188,273x = 69,346,375,569
  5. Step 5: Solve for x
    x = 69,346,375,569/188,273
  6. Step 6: Final answer
    x = 368,328.84

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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.