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Finding the Third Proportional to 334 and 619

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Solution

The third proportional to 334 and 619 is: 1,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 619 = 619 : x
  2. Step 2: Convert to fraction form
    334/619 = 619/x
  3. Step 3: Cross multiply
    334x = 619 × 619
  4. Step 4: Simplify right side
    334x = 383,161
  5. Step 5: Solve for x
    x = 383,161/334
  6. Step 6: Final answer
    x = 1,147.19

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.