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Finding the Third Proportional to 234 and 568

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Solution

The third proportional to 234 and 568 is: 1,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 568 = 568 : x
  2. Step 2: Convert to fraction form
    234/568 = 568/x
  3. Step 3: Cross multiply
    234x = 568 × 568
  4. Step 4: Simplify right side
    234x = 322,624
  5. Step 5: Solve for x
    x = 322,624/234
  6. Step 6: Final answer
    x = 1,378.74

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.