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Finding the Third Proportional to 188,271 and 263,334

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Solution

The third proportional to 188,271 and 263,334 is: 368,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,271 : 263,334 = 263,334 : x
  2. Step 2: Convert to fraction form
    188,271/263,334 = 263,334/x
  3. Step 3: Cross multiply
    188,271x = 263,334 × 263,334
  4. Step 4: Simplify right side
    188,271x = 69,344,795,556
  5. Step 5: Solve for x
    x = 69,344,795,556/188,271
  6. Step 6: Final answer
    x = 368,324.36

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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.