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Finding the Third Proportional to 233 and 334

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Solution

The third proportional to 233 and 334 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233 : 334 = 334 : x
  2. Step 2: Convert to fraction form
    233/334 = 334/x
  3. Step 3: Cross multiply
    233x = 334 × 334
  4. Step 4: Simplify right side
    233x = 111,556
  5. Step 5: Solve for x
    x = 111,556/233
  6. Step 6: Final answer
    x = 478.78

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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.