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Finding the Third Proportional to 188,226 and 268,310.25

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Solution

The third proportional to 188,226 and 268,310.25 is: 382,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,226 : 268,310.25 = 268,310.25 : x
  2. Step 2: Convert to fraction form
    188,226/268,310.25 = 268,310.25/x
  3. Step 3: Cross multiply
    188,226x = 268,310.25 × 268,310.25
  4. Step 4: Simplify right side
    188,226x = 71,990,390,255.06
  5. Step 5: Solve for x
    x = 71,990,390,255.06/188,226
  6. Step 6: Final answer
    x = 382,467.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.