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Finding the Third Proportional to 283.84 and 611.17

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Solution

The third proportional to 283.84 and 611.17 is: 1,315.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.84 : 611.17 = 611.17 : x
  2. Step 2: Convert to fraction form
    283.84/611.17 = 611.17/x
  3. Step 3: Cross multiply
    283.84x = 611.17 × 611.17
  4. Step 4: Simplify right side
    283.84x = 373,522.70
  5. Step 5: Solve for x
    x = 373,522.70/283.84
  6. Step 6: Final answer
    x = 1,315.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.